Inference on the Parameters and Reliability Characteristics of three parameter Burr Distribution based on Records

Authors

Ajit Chaturvedi, Department of Statistics, University of Delhi, Delhi 110007, IndiaFollow
Ananya Malhotra, Department of Statistics, University of Delhi, Delhi 110007, IndiaFollow

Author Country (or Countries)

India

Abstract

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)

http://dx.doi.org/10.18576/amis/110324

Recommended Citation

Chaturvedi, Ajit and Malhotra, Ananya (2017) "Inference on the Parameters and Reliability Characteristics of three parameter Burr Distribution based on Records," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 24.
DOI: http://dx.doi.org/10.18576/amis/110324
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/24