In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The results for k-th record values and order statistics are deduced from the relations derived. Further, a characterizing result of this distribution on using the conditional expectation of...

We propose a generalized entropy maximization procedure, which takes into account the generalized averaging procedures and information gain definitions underlying the generalized entropies. This novel generalized procedure is then applied to Rényi and Tsallis entropies. The generalized entropy maximization procedure for Rényi entropies results in the exponential stationary distribution asymptot...

In this work, we consider a recently proposed entropy I (called varentropy) defined by a variational relationship ) ( dx x d dI − = β as a measure of uncertainty of random variable x. By definition, varentropy underlies a generalized virtual work principle 0 = dx leading to maximum entropy 0 ) ( = − x I d β . This paper presents an analytical investigation of this maximizable entropy for severa...

It is well known that the Fisher scoring iteration for generalized linear models has the same form as the Gauss-Newton algorithm for normal regression. This note shows that exponential dispersion models are the most general families to preserve this form for the scoring iteration. Therefore exponential dispersion models are the most general extension of generalized linear models for which the a...

This paper proposes the 4-parameter odd Lomax generalized exponential distribution for study of engineering and COVID-19 data. The statistical mathematical properties this such as a linear representation probability density function, survival hazard rate moments, quantile order statistics, entropy, mean deviation, characteristic average residual life function are established. estimates paramete...

Joint monitoring of time and magnitude is an important issue in many industrial non-industrial fields several proposals exist the literature. The aim this article to propose a new maximum exponentially weighted moving average (Max-EWMA) chart assuming generalized exponential distribution for as well magnitude. As test-statistic Max-EWMA consists two EWMA statistics, it easy identify out-of-cont...