Record-Based Transmuted Generalized Linear Exponential Distribution with Increasing, Decreasing and Bathtub Shaped Failure Rates

07/20/2021
by   M. Arshad, et al.
0

The linear exponential distribution is a generalization of the exponential and Rayleigh distributions. This distribution is one of the best models to fit data with increasing failure rate (IFR). But it does not provide a reasonable fit for modeling data with decreasing failure rate (DFR) and bathtub shaped failure rate (BTFR). To overcome this drawback, we propose a new record-based transmuted generalized linear exponential (RTGLE) distribution by using the technique of Balakrishnan and He (2021). The family of RTGLE distributions is more flexible to fit the data sets with IFR, DFR, and BTFR, and also generalizes several well-known models as well as some new record-based transmuted models. This paper aims to study the statistical properties of RTGLE distribution, like, the shape of the probability density function and hazard function, quantile function and its applications, moments and its generating function, order and record statistics, Renyi entropy. The maximum likelihood estimators, least squares and weighted least squares estimators, Anderson-Darling estimators, Cramer-von Mises estimators of the unknown parameters are constructed and their biases and mean squared errors are reported via Monte Carlo simulation study. Finally, the real data set based on failure time illustrates the goodness of fit and applicability of the proposed distribution; hence, suitable recommendations are forwarded.

READ FULL TEXT
research
12/18/2019

A generalization of Ramos-Louzada distribution: Properties and estimation

In this paper, a new two-parameter model called generalized Ramos-Louzad...
research
01/10/2021

Bayesian estimation of a competing risk model based on Weibull and exponential distributions under right censored data

In this paper we investigate the estimation of the unknown parameters of...
research
12/14/2020

The Bivariate Defective Gompertz Distribution Based on Clayton Copula with Applications to Medical Data

In medical studies, it is common the presence of a fraction of patients ...
research
07/21/2021

On ageing properties of lifetime distributions

A reasonable segment of reliability theory is perpetrated to the study o...
research
02/04/2019

Optimal upper bounds on expected kth record values from IGFR distributions

The paper concerns the optimal upper bounds on the expectations of the k...
research
01/06/2023

Testing exponentiality using extropy of upper record values

We are giving one characterization result of exponential distribution us...
research
05/21/2008

Statistical region-based active contours with exponential family observations

In this paper, we focus on statistical region-based active contour model...

Please sign up or login with your details

Forgot password? Click here to reset