Proportional Hazard in Reliability Analysis and the Pathway Model

Mathai, A. M.; Princy, T.

doi:10.1007/s41096-016-0016-2

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Example -Aids Blood Transfusion Data1

Introduction1

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2024

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“…respectively. A statistical distribution is computed by substituting exponential distribution to the pathway generated family discussed by Mathai and Princy (2016). We compute properties of the distribution like survival, hazard functions, moment generating function and likelihood ratio ordering.…”

Section: Example -Aids Blood Transfusion Datamentioning

confidence: 99%

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Estimation of stress-strength reliability for type-1 pathway generated exponential distribution

James,

Xavier,

Sebastian

2024

Preprint

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A special case of the pathway generated family is computed with the exponential distribution and is called the type-1 pathway generated exponential distribution. The survival, hazard and moment generating function, likelihood ratio ordering, and stress-strength reliability are computed. For the estimation of stress-strength reliability parameter, point and interval estimator are computed using the maximum likelihood, and asymptotic confidence interval and bootstrap methods respectively. To verify the performance of the methods developed, an extensive Monte Carlo simulation study is conducted. The application of the developed results is illustrated on AIDS blood transfusion data.

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Section: Example -Aids Blood Transfusion Datamentioning

confidence: 99%

“…for a > 0, δ > 0, η > 0, x ≥ 0 and f 3 (x) = 0 elsewhere. Mathai and Princy (2016) developed the pathway generated family and studied its various properties. For the sake of completion, the definition of the pathwaygenerated family of Mathai and Princy (2016) is given below:…”

Section: Introductionmentioning

confidence: 99%