Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications

Broderick O. Oluyede; Macaulay Okwuokenye; Karl E. Peace

doi:10.5539/ijsp.v4n2p61

Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications

Broderick O. Oluyede, Macaulay Okwuokenye, Karl E. Peace

Biostatistics, Epidemiology, & Environmental Health Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this note, stochastic comparisons and results for weighted and Lindley models are presented. Approximation of weighted distributions via Lindley distribution in the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions with monotone weight functions are obtained including approximations via the length-biased Lindley distribution. Some useful bounds and moment-type inequality for weighted life distributions and applications are presented. Incorporation of covariates into Lindley model is considered and an application to illustrate the usefulness and applicability of the proposed Lindley-Cox model is given.

Original language	American English
Journal	International Journal of Statistics and Probability
Volume	4
DOIs	https://doi.org/10.5539/ijsp.v4n2p61
State	Published - Jan 1 2015

Keywords

DFR
Decreasing failure rate
IFR
Increasing failure rate
Lindley distribution
Lindley models
Lindley-Cox model
Stochastic comparisons
Weighted distribution
Weighted models

DC Disciplines

Biostatistics
Community Health
Public Health

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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title = "Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications",

abstract = " In this note, stochastic comparisons and results for weighted and Lindley models are presented. Approximation of weighted distributions via Lindley distribution in the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions with monotone weight functions are obtained including approximations via the length-biased Lindley distribution. Some useful bounds and moment-type inequality for weighted life distributions and applications are presented. Incorporation of covariates into Lindley model is considered and an application to illustrate the usefulness and applicability of the proposed Lindley-Cox model is given.",

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doi = "10.5539/ijsp.v4n2p61",

language = "American English",

volume = "4",

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T1 - Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications

AU - Oluyede, Broderick O.

AU - Okwuokenye, Macaulay

AU - Peace, Karl E.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this note, stochastic comparisons and results for weighted and Lindley models are presented. Approximation of weighted distributions via Lindley distribution in the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions with monotone weight functions are obtained including approximations via the length-biased Lindley distribution. Some useful bounds and moment-type inequality for weighted life distributions and applications are presented. Incorporation of covariates into Lindley model is considered and an application to illustrate the usefulness and applicability of the proposed Lindley-Cox model is given.

AB - In this note, stochastic comparisons and results for weighted and Lindley models are presented. Approximation of weighted distributions via Lindley distribution in the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions with monotone weight functions are obtained including approximations via the length-biased Lindley distribution. Some useful bounds and moment-type inequality for weighted life distributions and applications are presented. Incorporation of covariates into Lindley model is considered and an application to illustrate the usefulness and applicability of the proposed Lindley-Cox model is given.

KW - DFR

KW - Decreasing failure rate

KW - IFR

KW - Increasing failure rate

KW - Lindley distribution

KW - Lindley models

KW - Lindley-Cox model

KW - Stochastic comparisons

KW - Weighted distribution

KW - Weighted models

UR - https://digitalcommons.georgiasouthern.edu/biostat-facpubs/101

U2 - 10.5539/ijsp.v4n2p61

DO - 10.5539/ijsp.v4n2p61

M3 - Article

VL - 4

JO - International Journal of Statistics and Probability

JF - International Journal of Statistics and Probability

ER -

Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications

Abstract

Keywords

DC Disciplines

UN SDGs

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