An Extended Sine Exponential Distribution with Applications to Reliability Engineering

Abstract

This paper presents a new extension of the sine exponential distribution. The main
statistical properties of the proposed model are studied, including the probability density
function, cumulative distribution function, reliability functions, moments, quantile
function, and mean residual life function. The density function of the model is unimodal
and has a positively skewed shape. Four different methods are applied to estimate the
unknown parameters of the model. To assess the performance of the new distribution, two
real datasets from the field of reliability engineering are analyzed. The results from the data
applications show that the proposed model provides better fits than other classical
distributions, including the Marshall–Olkin exponential, sine exponential, and exponential
distributions. These results confirm that the model is flexible and suitable for analyzing
lifetime data in engineering and reliability studies.
Keywords: Exponentiated sine exponential distribution; mean residual life function;
parameter estimation; lifetime data; goodness-of-fit