The New Size-Biased Kumaraswamy-G Distribution

The Kumaraswamy-geometric distribution

In this paper, the Kumaraswamy-geometric distribution, which is a member of the T -geometric family of discrete distributions is defined and studied. Some properties of the distribution such as moments, probability generating function, hazard and quantile functions are studied. The method of maximum likelihood estimation is proposed for estimating the model parameters. Two real data sets are us...

Inference on the Kumaraswamy distribution

Many lifetime distribution models have successfully served as population models for risk analysis and reliability mechanisms. The Kumaraswamy distribution is one of these distributions which is particularly useful to many natural phenomena whose outcomes have lower and upper bounds or bounded outcomes in the biomedical and epidemiological research. This paper studies point estimation and interv...

Mono-Size Distribution Index (MSDI): A new criterion for the quantitative description of size distribution

Graphical size distribution is widely used in different fields of science and studies related to powders, droplets, bubbles, and pores. However, in some condition it may also be necessary to express the size distribution quantitatively. In spite of there being several suggested ways to quantify size distribution in the literature, some of these approaches are not applicable for many methods and...

Characterizations of Kumaraswamy-Geometric Distribution

Inference on the Log-Exponentiated Kumaraswamy Distribution

In this paper, the log-exponentiated Kumaraswamy (LEK) distribution is introduced and studied as a survival model of unemployment, its survived function has the interesting property that it can be decreasing depending on the shape parameters. The method of maximum likelihood is applied for estimating the model parameters, survival and hazard rate functions. Stratification is used to reduce hete...