Open AccessBayes Estimation of the Modified Inverse Rayleigh Parameters Under Various Approximation Techniques
Author(s) -
Mehak Taufique,
Naila Bashir,
Naz Saud,
Muhammad Farooq
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i1.3424
Subject(s) - mathematics , estimator , mean squared error , statistics , bayes' theorem , inverse , m estimator , bayesian probability , geometry
In this paper we proposed Bayes estimators for complete sample of the Modified InverseRayleigh (MIR) parameters which was introduced by Khan (2014). Different approximationmethods with squared error loss function (SELF) have been used to develop the bayesestimators for the unknown parameters. The proposed estimators are compared with the correspondingmaximum likelihood estimators by simulation study on the basis of mean squareerror (MSE). To illustrate the usefulness and goodness of fit of Modified Inverse Rayleighdistribution we considered two real data sets.