A new characterization of geometric distribution

Power Normal-Geometric Distribution: Model, Properties and Applications

In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

Characterizations Using Entropies of Records in a Geometric Random Record Model

Suppose that a geometrically distributed number of observations are available from an absolutely continuous distribution function $F$, within this set of observations denote the random number of records by $M$. This is called geometric random record model. In this paper, characterizations of $F$ are provided in terms of the subsequences entropies of records conditional on events ${M geq n}$ or ...

The Beta Gompertz Geometric distribution: Mathematical Properties and Applications

‎In this paper‎, ‎a new five-parameter so-called Beta-Gompertz Geometric (BGG) distribution is introduced that can have a decreasing‎, ‎increasing‎, ‎and bathtub-shaped failure rate function depending on its parameters‎. ‎Some mathematical properties of the this distribution‎, ‎such as the density and hazard rate functions‎, ‎moments‎, ‎moment generating function‎, ‎R and Shannon entropy‎, ‎Bon...

Some New Characterization Results on Exponential and Related Distributions

A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution

In this paper, we propose a new parametric distribution which called as the Beta Modified Weibull Power Series (BMWPS) distribution. This distribution is obtained by compounding Beta Modified Weibull (BMW) and power series distributions. BMWPS distribution contains, as special sub-models, such as Beta Modified Weibull Poisson (BMWP) distribution, Beta Modified Weibull Geometric (BMWG) distribut...

A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

Finding new families of distributions has become a popular tool in statistical research. In this article, we introduce a new flexible four-parameter discrete model based on the Marshall-Olkin approach, namely, the discrete Kumaraswamy Marshall-Olkin exponential distribution. The proposed distribution can be viewed as another generalization of the geometric distribution and enfolds some importan...