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Index

_

__add__() (relife.data.LifetimeData.DataByEvent method)

__mul__() (relife.data.LifetimeData.DataByEvent method)

A

a0 (relife.data.ReplacementPolicyData attribute) AbsolutelyContinuousLifetimeModel (class in relife.model) AFT (class in relife.regression) AgeReplacementCost (class in relife.reward) AgeReplacementModel (class in relife.model) AgeReplacementPolicy (class in relife.replacement_policy) AIC (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute) AICc (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute) annuity_factor() (relife.discounting.Discount class method) (relife.discounting.ExponentialDiscounting class method) (relife.discounting.GeneralizedHyperbolicDiscounting class method) (relife.discounting.HyperbolicDiscounting class method) args (relife.data.LifetimeData attribute) (relife.data.ReplacementPolicyData attribute) args_ndim() (in module relife.utils) args_size() (in module relife.utils)

args_take() (in module relife.utils) asdict() (relife.parametric.FittingResult method) (relife.regression.RegressionFittingResult method) astuple() (relife.data.CountData method) (relife.data.LifetimeData method) (relife.data.RenewalData method) (relife.data.RenewalRewardData method) (relife.data.ReplacementPolicyData method) asymptotic_expected_equivalent_annual_cost() (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method) (relife.replacement_policy.OneCycleRunToFailure method) (relife.replacement_policy.RunToFailure method) asymptotic_expected_equivalent_annual_worth() (relife.renewal_process.RenewalRewardProcess method) asymptotic_expected_total_cost() (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method) (relife.replacement_policy.OneCycleRunToFailure method) (relife.replacement_policy.RunToFailure method) asymptotic_expected_total_reward() (relife.renewal_process.RenewalRewardProcess method)

B

baseline (relife.distribution.MinimumDistribution attribute) (relife.model.AgeReplacementModel attribute) (relife.model.EquilibriumDistribution attribute) (relife.model.LeftTruncated attribute) (relife.regression.Regression attribute)

beta (relife.regression.Regression attribute) BIC (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute)

C

c (relife.distribution.Gompertz attribute) (relife.distribution.LogLogistic attribute) (relife.distribution.Weibull attribute) cdf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) chf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.EquilibriumDistribution method) (relife.model.HazardFunctions method) (relife.model.LeftTruncated method) (relife.parametric.ParametricHazardFunctions method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

concordance_index() (in module relife.regression) conditional_expectation() (relife.reward.AgeReplacementCost method) (relife.reward.FailureCost method) (relife.reward.Reward method) count() (relife.data.LifetimeData.DataByEvent method) CountData (class in relife.data)

D

D (relife.data.LifetimeData.DataByEvent attribute) D_RC (relife.data.LifetimeData.DataByEvent attribute) delayed_renewal() (in module relife.renewal_process) Discount (class in relife.discounting) discount (relife.replacement_policy.AgeReplacementPolicy attribute) (relife.replacement_policy.OneCycleAgeReplacementPolicy attribute) (relife.replacement_policy.OneCycleRunToFailure attribute) (relife.replacement_policy.RunToFailure attribute)

durations (relife.data.RenewalData attribute) (relife.data.RenewalRewardData attribute)

E

ECDF (class in relife.nonparametric) entry (relife.data.LifetimeData attribute) EquilibriumDistribution (class in relife.model) event (relife.data.LifetimeData attribute) events (relife.data.ReplacementPolicyData attribute) expected_equivalent_annual_cost() (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method) (relife.replacement_policy.OneCycleRunToFailure method) (relife.replacement_policy.RunToFailure method)

expected_equivalent_annual_worth() (relife.renewal_process.RenewalRewardProcess method) expected_total_cost() (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method) (relife.replacement_policy.OneCycleRunToFailure method) (relife.replacement_policy.RunToFailure method) expected_total_reward() (relife.renewal_process.RenewalRewardProcess method) Exponential (class in relife.distribution) ExponentialDiscounting (class in relife.discounting)

F

factor() (relife.discounting.Discount class method) (relife.discounting.ExponentialDiscounting class method) (relife.discounting.GeneralizedHyperbolicDiscounting class method) (relife.discounting.HyperbolicDiscounting class method) FailureCost (class in relife.reward) fit() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.nonparametric.ECDF method) (relife.nonparametric.KaplanMeier method) (relife.nonparametric.NelsonAalen method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method)

FittingResult (class in relife.parametric)

G

Gamma (class in relife.distribution) gauss_laguerre() (in module relife.utils)

gauss_legendre() (in module relife.utils) GeneralizedHyperbolicDiscounting (class in relife.discounting) Gompertz (class in relife.distribution)

H

HazardFunctions (class in relife.model) hf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.EquilibriumDistribution method) (relife.model.HazardFunctions method) (relife.model.LeftTruncated method) (relife.parametric.ParametricHazardFunctions method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

HyperbolicDiscounting (class in relife.discounting)

I

ichf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.EquilibriumDistribution method) (relife.model.HazardFunctions method) (relife.model.LeftTruncated method) (relife.parametric.ParametricHazardFunctions method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) index() (relife.data.LifetimeData.DataByEvent method)

indices (relife.data.CountData attribute) (relife.data.RenewalData attribute) isf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

J

jac (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute)

K

KaplanMeier (class in relife.nonparametric)

L

LC (relife.data.LifetimeData.DataByEvent attribute) LeftTruncated (class in relife.model) LifetimeData (class in relife.data) LifetimeData.DataByEvent (class in relife.data) LifetimeModel (class in relife.model) load_circuit_breaker() (in module relife.datasets) load_insulator_string() (in module relife.datasets) load_power_transformer() (in module relife.datasets) LogLogistic (class in relife.distribution) ls_integrate() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

LT (relife.data.LifetimeData.DataByEvent attribute)

M

mean() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) mean_number_of_events() (relife.data.CountData method) (relife.data.RenewalData method) (relife.data.RenewalRewardData method) (relife.data.ReplacementPolicyData method) mean_total_reward() (relife.data.RenewalRewardData method) (relife.data.ReplacementPolicyData method) median() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) MinimumDistribution (class in relife.distribution) module relife relife.data relife.datasets relife.discounting relife.distribution relife.model relife.nonparametric relife.parametric relife.regression relife.renewal_process relife.replacement_policy relife.reward relife.utils

moment() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) mrl() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

N

n_indices (relife.data.CountData attribute) (relife.data.RenewalData attribute) n_params (relife.distribution.Exponential property) (relife.distribution.Gamma property) (relife.distribution.Gompertz property) (relife.distribution.LogLogistic property) (relife.distribution.MinimumDistribution property) (relife.distribution.ParametricLifetimeDistribution property) (relife.distribution.Weibull property) (relife.parametric.FittingResult attribute) (relife.parametric.ParametricHazardFunctions property) (relife.parametric.ParametricLifetimeModel property) (relife.regression.AFT property) (relife.regression.ProportionalHazards property) (relife.regression.Regression property) (relife.regression.RegressionFittingResult attribute)

n_samples (relife.data.CountData attribute) (relife.data.RenewalData attribute) (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute) NelsonAalen (class in relife.nonparametric) number_of_events() (relife.data.CountData method) (relife.data.RenewalData method) (relife.data.RenewalRewardData method) (relife.data.ReplacementPolicyData method)

O

OneCycleAgeReplacementPolicy (class in relife.replacement_policy) OneCycleRunToFailure (class in relife.replacement_policy) opt (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute)

optimal_replacement_age() (relife.replacement_policy.AgeReplacementPolicy class method) (relife.replacement_policy.OneCycleAgeReplacementPolicy class method)

P

ParametricHazardFunctions (class in relife.parametric) ParametricLifetimeDistribution (class in relife.distribution) ParametricLifetimeModel (class in relife.parametric) params (relife.distribution.Exponential property) (relife.distribution.Gamma property) (relife.distribution.Gompertz property) (relife.distribution.LogLogistic property) (relife.distribution.MinimumDistribution property) (relife.distribution.ParametricLifetimeDistribution property) (relife.distribution.Weibull property) (relife.parametric.ParametricHazardFunctions property) (relife.parametric.ParametricLifetimeModel property) (relife.regression.AFT property) (relife.regression.ProportionalHazards property) (relife.regression.Regression property) pdf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

plot() (in module relife.utils) (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.nonparametric.ECDF method) (relife.nonparametric.KaplanMeier method) (relife.nonparametric.NelsonAalen method) ppf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method) ProportionalHazards (class in relife.regression)

Q

quad_laguerre() (in module relife.utils)

R

rate (relife.distribution.Exponential attribute) (relife.distribution.Gamma attribute) (relife.distribution.Gompertz attribute) (relife.distribution.LogLogistic attribute) (relife.distribution.Weibull attribute) rate() (relife.discounting.Discount class method) (relife.discounting.ExponentialDiscounting class method) (relife.discounting.GeneralizedHyperbolicDiscounting class method) (relife.discounting.HyperbolicDiscounting class method) Regression (class in relife.regression) RegressionFittingResult (class in relife.regression) relife module relife.data module relife.datasets module relife.discounting module relife.distribution module relife.model module relife.nonparametric module relife.parametric module relife.regression module relife.renewal_process module relife.replacement_policy module relife.reward module relife.utils module

renewal_density() (relife.renewal_process.RenewalProcess method) (relife.renewal_process.RenewalRewardProcess method) renewal_equation_solver() (in module relife.renewal_process) renewal_function() (relife.renewal_process.RenewalProcess method) (relife.renewal_process.RenewalRewardProcess method) RenewalData (class in relife.data) RenewalProcess (class in relife.renewal_process) RenewalRewardData (class in relife.data) RenewalRewardProcess (class in relife.renewal_process) ReplacementPolicyData (class in relife.data) Reward (class in relife.reward) reward (relife.replacement_policy.AgeReplacementPolicy attribute) (relife.replacement_policy.OneCycleAgeReplacementPolicy attribute) (relife.replacement_policy.OneCycleRunToFailure attribute) (relife.replacement_policy.RunToFailure attribute) rewards (relife.data.RenewalRewardData attribute) (relife.data.ReplacementPolicyData attribute) rrp_args() (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method) (relife.replacement_policy.OneCycleRunToFailure method) (relife.replacement_policy.RunToFailure method) RunToFailure (class in relife.replacement_policy) rvs() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

S

sample() (relife.renewal_process.RenewalProcess method) (relife.renewal_process.RenewalRewardProcess method) (relife.replacement_policy.AgeReplacementPolicy method) (relife.replacement_policy.OneCycleAgeReplacementPolicy method) (relife.replacement_policy.OneCycleRunToFailure method) (relife.replacement_policy.RunToFailure method) (relife.reward.AgeReplacementCost method) (relife.reward.FailureCost method) (relife.reward.Reward method) samples (relife.data.CountData attribute) (relife.data.RenewalData attribute) se (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute) sf() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

shifted_laguerre() (in module relife.utils) size (relife.data.CountData property) (relife.data.RenewalData property) (relife.data.RenewalRewardData property) (relife.data.ReplacementPolicyData property) standard_error() (relife.parametric.FittingResult method) (relife.regression.RegressionFittingResult method) support_upper_bound() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

T

T (relife.data.CountData attribute) (relife.data.RenewalData attribute) time (relife.data.LifetimeData attribute) times (relife.data.CountData attribute) (relife.data.RenewalData attribute)

to_lifetime_data() (relife.data.ReplacementPolicyData method) total_reward() (relife.data.RenewalRewardData method) (relife.data.ReplacementPolicyData method)

V

var (relife.parametric.FittingResult attribute) (relife.regression.RegressionFittingResult attribute) var() (relife.distribution.Exponential method) (relife.distribution.Gamma method) (relife.distribution.Gompertz method) (relife.distribution.LogLogistic method) (relife.distribution.MinimumDistribution method) (relife.distribution.ParametricLifetimeDistribution method) (relife.distribution.Weibull method) (relife.model.AbsolutelyContinuousLifetimeModel method) (relife.model.AgeReplacementModel method) (relife.model.EquilibriumDistribution method) (relife.model.LeftTruncated method) (relife.model.LifetimeModel method) (relife.parametric.ParametricLifetimeModel method) (relife.regression.AFT method) (relife.regression.ProportionalHazards method) (relife.regression.Regression method)

W

Weibull (class in relife.distribution)