A three parameter Burr distribution is considered. Two measures of reliability are discussed, namely R(t) = P(X > t) and P = P(X > Y). Point and interval estimation procedures are developed for the parameters, R(t) and P based on records. Two types of point estimators are developed – uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES). A comparative study of different methods of estimation is done through simulation studies and asymptotic conﬁdence intervals of the parameters based on MLE and log(MLE) are constructed. Conﬁdence intervals for the MLE and UMVUE of the parametric functions are obtained. Testing procedures are also developed for various hypotheses. Real example is used to illustrate the results.
Digital Object Identifier (DOI)
Chaturvedi, Ajit and Malhotra, Ananya
"Inference on the Parameters and Reliability Characteristics of three parameter Burr Distribution based on Records,"
Applied Mathematics & Information Sciences: Vol. 11
, Article 59.
Available at: https://dc.naturalspublishing.com/amis/vol11/iss3/59