#Exponential distribution cdf series#

Chahkandi and Ganjali established an exponential power series (EPS) family of distributions, which included a new mixture of an exponential and binomial distribution (see Barreto-Souza et al. A lot of work is available in the recent literature regarding Alzaatreh et al. to develop distributions defined over any domain. generalized the technique of Eugene et al. Many practitioners discussed a technique to generate different distributions Nadarajah and Kotz, Nadarajah and Gupta, Nadarajah and Kotz, and Nadarajah et al. proposed a new beta generated family of distributions for skewed and bimodal data. Several generalizations of the family of distribution have been studied in the last two decades. Numerous distributions have been developed and applied to describe various phenomena in engineering and quality control. The Weibull (W) distribution is extensively used to model failure time data. The results of the monitoring process and quick detection are compared with exponential distribution. The significance of the proposed model is demonstrated using a simulation study and real-life problems. The estimations of the model parameters and the proposed chart parameters are performed through the methods of maximum likelihood and average run-length. In this paper, an attribute control chart using Weibull-exponential distribution is developed. The compatibility of the newly developed class is justified through its application in the field of quality control using Weibull-exponential distribution, a special case of the proposed family. This paper presents a new Weibull family of distributions.

Exponential distribution cdf