Preliminarytestestimators(PTEs)forpowerofparameterandtworeliabilitymeasureR(t)=P(X>Y)andP=P(X>Y) of Generalized Inverted Scale family of distribution are developed based on record value.Preliminary test confidence interval (PTCI) is also developed based on uniformly minimum variance unbiased estimators (UMVUE), maximum likelihood estimator (MLE). A comparative study of different methods of estimation done through simulation establishes that PTEs perform better than ordinary UMVUE and MLE.
Digital Object Identifier (DOI)
Singh, Komal and Kumar Shukla, Ashish
"Development of Preliminary Test Estimators and Confidence Interval for the Reliability Characteristics of Generalized Inverted Scale Family of Distribution based on Records,"
Journal of Statistics Applications & Probability: Vol. 10
, Article 18.
Available at: https://dc.naturalspublishing.com/jsap/vol10/iss2/18