Burr X Exponential – G Family of Distributions: Properties and Application

Abstract

In this paper, we developed a new class of continuous distributions called Burr X Exponential-G Family. Also, we obtained sub-models of this family of distributions such as Burr X Exponential-Rayleigh (BXE-R) and Burr X Exponential Lomax (BXE-Lx) distributions; by showing their respective densities functions. Some structural properties of the proposed family of distributions were derived such as moment, moment generating function, probability weighted moment, renyi entropy and order statistics. We estimate the parameters of the model by using Maximum Likelihood methods. Finally, the results obtained are validated using two real data sets. The results show that BXE-Lx distribution provides better fit in the data sets than some other well known distributions. However, this new family of distributions will serve as an additional generator for developing new sub models to modeling positive real data sets.

Novel Type I Half Logistic Burr-Weibull Distribution: Application to COVID-19 Data

“…Among the most notable generators are the following: an innovative method for integrating a parameter into a family of distributions, which consists of merging the distributions themselves (see [1], beta-G by [2], logistic-X by [3][4][5][6][7][8][9][10], the transmuted odd Fréchet-G family by [11], and Burr X Exponential-G family by [12], among others.…”

Type I Half Logistic Burr X-G Family: Properties, Bayesian, and Non-Bayesian Estimation under Censored Samples and Applications to COVID-19 Data

“…For the time being, there is still a need for providing wider classes of distributions in order to provide them with greater flexibility and precision when fitting data. Some of the more recent generators sounding in the literature are the beta-G [1], type I half logistic [2], odd exponentiated half logistic G [3], Marshall-Olkin Burr X-G [4], generalized odd log-logistic-G [5], beta Burr type X − G [6], new generalized odd log-logistic-G [7], generalized Burr X-G [8], type II half logistic [9], the transmuted odd Fréchet-G family in [10], Kumaraswamy-type I half logistic [11], and Burr X-exponential-G [12], among others.…”

Type II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications

“…The limitations of the well-known standard distributions like Weibull distribution, Lindley distribution, Rayleigh distribution and many others have motivated researchers to generalize and extend existing distributions, in order to offer flexible models in terms of data modeling. Several extensions of distributions available in the literature are the beta Marshall-Olkin family of distributions by Alizadeh (3), Topp-Leone generated family of distributions by Rezaei (26), type II power Topp-Leone generated family of distributions by Bantan et al (5), sine Topp-Leone-G family of distributions by Al-Babtain et al (1), Burr X exponential-G family of distributions by Sanusi (28), type II half logistic family of distributions by Soliman et al (32), type II general inverse exponential family of distributions by Jamal et al (13), the Zografos-Balakrishnan-G family of distributions by Nadarajah et al (20), beta Weibull-G by Yousof et al (35), new power generalized Weibull-G by Oluyede et al (24), Weibull-G by Bourguignon et al (8) developed, beta-G by Eugene et al (10).…”