Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions.

ABSTRACT: This article introduces a two-parameter exponentiated Teissier distribution. It is the main advantage of the distribution to have increasing, decreasing and bathtub shapes for its hazard rate function. The expressions of the ordinary moments, identifiability, quantiles, moments of order statistics, mean residual life function and entropy measure are derived. The skewness and kurtosis of the distribution are explored using the quantiles. In order to study two independent random variables, stress-strength reliability and stochastic orderings are discussed. Estimators based on likelihood, least squares, weighted least squares and product spacings are constructed for estimating the unknown parameters of the distribution. An algorithm is presented for random sample generation from the distribut

SUBMITTER: Sharma VK 

PROVIDER: S-EPMC9196087 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature