# Datasets¶

Datasets

This file contains several datasets that are useful for testing and experimenting.

Please see the online documentation for detailed examples.

class reliability.Datasets.ALT_load

This is a single stress accelerated life test (ALT) dataset conducted at 3 loads. This dataset contains 20 failure times and no censoring.

Sourced from Dr. Mohammad Modarres, University of Maryland

Returns: failures (list) – The failure times failure_stresses (list) – The stress corresponding to each failure time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.ALT_fitters import Fit_Weibull_Power

class reliability.Datasets.ALT_load2

This is a single stress accelerated life test (ALT) dataset conducted at 3 loads. This dataset contains 18 values, 5 of which are censored.

Sourced from Dr. Mohammad Modarres, University of Maryland

Returns: failures (list) – The failure times failure_stresses (list) – The stress corresponding to each failure time right_censored (list) – The right censored times right_censored_stresses (list) – The stress corresponding to each right censored time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.ALT_fitters import Fit_Weibull_Power

class reliability.Datasets.ALT_temperature

This is a single stress accelerated life test (ALT) dataset conducted at 3 temperatures. The dataset contains mostly censored data but is easily fitted by several ALT models.

Sourced from Dr. Mohammad Modarres, University of Maryland.

Returns: failures (list) – The failure times failure_stresses (list) – The stress corresponding to each failure time right_censored (list) – The right censored times right_censored_stresses (list) – The stress corresponding to each right censored time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.ALT_fitters import Fit_Weibull_Exponential
from reliability.Datasets import ALT_temperature
Fit_Weibull_Exponential(failures=ALT_temperature().failures, failure_stress=ALT_temperature().failure_stresses, right_censored=ALT_temperature().right_censored, right_censored_stress=ALT_temperature().right_censored_stresses)

class reliability.Datasets.ALT_temperature2

This is a single stress accelerated life test (ALT) dataset conducted at 4 temperatures. This dataset contains 40 values, 20 of which are censored.

Sourced from Dr. Mohammad Modarres, University of Maryland

Returns: failures (list) – The failure times failure_stresses (list) – The stress corresponding to each failure time right_censored (list) – The right censored times right_censored_stresses (list) – The stress corresponding to each right censored time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.ALT_fitters import Fit_Weibull_Exponential
from reliability.Datasets import ALT_temperature2
Fit_Weibull_Exponential(failures=ALT_temperature2().failures, failure_stress=ALT_temperature2().failure_stresses, right_censored=ALT_temperature2().right_censored, right_censored_stress=ALT_temperature2().right_censored_stresses)

class reliability.Datasets.ALT_temperature3

This is a single stress accelerated life test (ALT) dataset conducted at 3 temperatures. This dataset contains 30 values and no censoring.

Returns: failures (list) – The failure times failure_stresses (list) – The stress corresponding to each failure time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.ALT_fitters import Fit_Weibull_Exponential
from reliability.Datasets import ALT_temperature3
Fit_Weibull_Exponential(failures=ALT_temperature3().failures, failure_stress=ALT_temperature3().failure_stresses)

class reliability.Datasets.ALT_temperature4

This is a single stress accelerated life test (ALT) dataset conducted at 3 temperatures. This dataset contains 20 values and no censoring.

Returns: failures (list) – The failure times failure_stresses (list) – The stress corresponding to each failure time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.ALT_fitters import Fit_Weibull_Exponential
from reliability.Datasets import ALT_temperature4
Fit_Weibull_Exponential(failures=ALT_temperature4().failures, failure_stress=ALT_temperature4().failure_stresses)

class reliability.Datasets.ALT_temperature_humidity

This is a dual stress accelerated life test (ALT) dataset conducted at 2 different temperatures and 2 different humidities. The dataset contains 12 failures and no censoring.

Returns: failures (list) – The failure times failure_stress_temp (list) – The temperature stress corresponding to each failure time failure_stress_humidity (list) – The humidity stress corresponding to each failure time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import ALT_temperature_humidity
from reliability.ALT_fitters import Fit_Normal_Dual_Exponential
data = ALT_temperature_humidity()
Fit_Normal_Dual_Exponential(failures=data.failures, failure_stress_1=data.failure_stress_temp, failure_stress_2=data.failure_stress_humidity)

class reliability.Datasets.ALT_temperature_voltage

This is a dual stress accelerated life test (ALT) dataset conducted at 2 different temperatures and 2 different voltages. The dataset is contains 12 failures and no censoring.

Returns: failures (list) – The failure times failure_stress_temp (list) – The temperature stress corresponding to each failure time failure_stress_voltage (list) – The voltage stress corresponding to each failure time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import ALT_temperature_voltage
from reliability.ALT_fitters import Fit_Normal_Dual_Exponential
data = ALT_temperature_voltage()
Fit_Normal_Dual_Exponential(failures=data.failures, failure_stress_1=data.failure_stress_temp, failure_stress_2=data.failure_stress_voltage)

class reliability.Datasets.ALT_temperature_voltage2

This is a dual stress accelerated life test (ALT) dataset conducted at 3 different temperatures and 2 different voltages. There are 18 failures and no censoring. Note that there is stress-pair that contains only a single failure.

Returns: failures (list) – The failure times failure_stress_temp (list) – The temperature stress corresponding to each failure time failure_stress_voltage (list) – The voltage stress corresponding to each failure time info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import ALT_temperature_voltage2
from reliability.ALT_fitters import Fit_Normal_Dual_Exponential
data = ALT_temperature_voltage2()
Fit_Normal_Dual_Exponential(failures=data.failures, failure_stress_1=data.failure_stress_temp, failure_stress_2=data.failure_stress_voltage)

class reliability.Datasets.MCF_1

This dataset is formatted for use with the Mean Cumulative Function (MCF_parametric or MCF_nonparametric). It consists of failure times for five systems. It exhibits a fairly constant failure rate, appearing to be slightly increasing (beta > 1).

Returns: times (list) – A list of lists. Each sublist contains the failure times for each system. number_of_systems (int) – The number of systems in the dataset (len(times))

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Repairable_systems import MCF_nonparametric
from reliability.Datasets import MCF_1
MCF_nonparametric(data=MCF_1().times)

class reliability.Datasets.MCF_2

This dataset is formatted for use with the Mean Cumulative Function (MCF_parametric or MCF_nonparametric). It consists of failure times for 56 systems. It exhibits an increasing failure rate at the start and a decreasing failure rate near the end. Due to this shape it is not fitted well by the power law model used in MCF parametric.

Returns: times (list) – A list of lists. Each sublist contains the failure times for each system. number_of_systems (int) – The number of systems in the dataset (len(times))

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Repairable_systems import MCF_nonparametric
from reliability.Datasets import MCF_2
MCF_nonparametric(data=MCF_2().times)

class reliability.Datasets.automotive

This dataset is relatively small and a challenging task to fit with any distribution due to its size and shape. It also includes mostly right censored data which makes fitting more difficult.

Sourced (with permission) from: V.V. Krivtsov and J. W. Case (1999), Peculiarities of Censored Data Analysis in Automotive Industry Applications - SAE Technical Paper Series, # 1999-01-3220

Returns: failures (list) – The failure times right_censored (list) – The right censored times info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import automotive
from reliability.Fitters import Fit_Weibull_2P
Fit_Weibull_2P(failures=automotive().failures, right_censored=automotive().right_censored)

class reliability.Datasets.defective_sample

This dataset is heavily right censored with intermixed multiply censored data (not all censored values are greater than the largest failure). It exhibits the behavior of a defective sample (aka. Limited fraction defective). Thanks to Alexander Davis for providing this dataset.

Returns: failures (list) – The failure times right_censored (list) – The right censored times info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import defective_sample
from reliability.Fitters import Fit_Weibull_DS
Fit_Weibull_DS(failures=defective_sample().failures, right_censored=defective_sample().right_censored)

class reliability.Datasets.electronics

This dataset is heavily right censored without intermixed censoring (all censored values are greater than the largest failure). Thanks to Jiwon Cha for providing this dataset.

Returns: dataframe (dataframe) – A dataframe with columns of time, quantity, category (this is data in XCN format). failures (list) – The failure times right_censored (list) – The right censored times info (dataframe) – Descriptive statistics about the dataset

Notes

This dataset is in the correct format for use in Fit_Weibull_2P_grouped. When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import electronics
from reliability.Fitters import Fit_Weibull_2P_grouped
Fit_Weibull_2P_grouped(dataframe=electronics().dataframe)

class reliability.Datasets.mileage

This dataset is simple to fit. It contains 100 values with no right censoring. The data appears to be from a Normal Distribution.

Sourced from Example 2.31 (page 63) of Reliability Engineering and Risk analysis 3rd Edition by M. Modarres, M. Kaminskiy, and V.V. Krivtsov

Returns: failures (list) – The failure times info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import mileage
from reliability.Fitters import Fit_Weibull_2P
Fit_Weibull_2P(failures=mileage().failures)

class reliability.Datasets.mixture

This dataset is from a mixture model with heavy censoring (97.90622% right censored). It is best modelled using a Weibull Mixture Model.

Returns: failures (list) – The failure times right_censored (list) – The right censored times info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import mixture
from reliability.Fitters import Fit_Weibull_Mixture
Fit_Weibull_Mixture(failures=automotive().failures, right_censored=automotive().right_censored)

class reliability.Datasets.system_growth

This dataset is contains 22 values with no right censoring. The data is from a system that has an increasing MTBF.

Returns: failures (list) – The failure times info (dataframe) – Descriptive statistics about the dataset

Notes

When importing the dataset, ensure it is called using the brackets after the name. Example Usage:

from reliability.Datasets import system_growth
from reliability.Fitters import Fit_Weibull_2P
Fit_Weibull_2P(failures=system_growth().failures)