Inference on Positive Exponential Family of Distributions (PEFD) through Transformation Method | Zendy

Surinder Kumar | Zendy; Prem Lata Gautam | Zendy; Vaidehi Singh | Zendy

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Inference on Positive Exponential Family of Distributions (PEFD) through Transformation Method

Author(s) -

Surinder Kumar,

Prem Lata Gautam,

Vaidehi Singh

Publication year - 2021

Publication title -

journal of reliability and statistical studies

Language(s) - English

Resource type - Journals

eISSN - 2229-5666

pISSN - 0974-8024

DOI - 10.13052/jrss0974-8024.13248

Subject(s) - mathematics , natural exponential family , exponential family , estimator , transformation (genetics) , exponential function , exponential distribution , statistics , gamma distribution , confidence interval , exponentially modified gaussian distribution , mathematical analysis , biochemistry , chemistry , gene

The estimation of R(t) and R = Pr(Y > X) for the Positive Exponential Family of Distribution (PEFD) is considered. The UMVUES, MLES and Confidence Interval are derived. These estimators are derived through the method of Transformation. The α = Pr(X > γ), which is termed as probability of disaster is also derived when random stress X follows PEFD and finite strength follows Power function distribution.

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