### Benrabia Distribution: Properties and Applications

#### Abstract

#### References

Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions

on Automatic Control, 19(6):716–723.

Al-Omari, A., Al-khazaleh, A., and Alzoubi, L. (2017a). A generalization of the new

weibulll-pareto distribution. REVISTA INVESTIGACION OPERACIONAL. ac-

cepted for publication.

Al-Omari, A. I., Al-khazaleh, A. M., and Alzoubi, L. M. (2017b). Transmuted janar-

dan distribution: A generalization of the janardan distribution. Journal of Statistics

Applications & Probability, 5(2):1–11.

Al-zou′ bi, L. (2017). Transmuted mukherjee-islam distribution: A generalization of

mukherjee-islam distribution. Journal of Mathematics Research, 9(4):135–144.

Al-Zoubi, L., Gharaibeh, M., and Alzghool, R. (2021). Transmuted shanker distribution:

Properties and applications. Italian Journal of Pure and Applied Mathematics, -(-):–.

Accepted for publication.

Almawajdeh, N. (2019). Generalization of rani and generalized akash distributions.

Master’s thesis.

Almousa, B. (2019). Generalization of sujatha and amarendra distributions using

quadratic transmutation map. Master’s thesis, Al al-Bayt University.

Alsikeek, H. A. (2018). Quadratic transmutation map for reciprocal distribution and two-

parameter weighted exponential distribution. Master’s thesis, Department of Mathe-

matics, Al al-Bayt University, Mafraq, Jordan.

AzZwideen, R. and Al-Zou’bi (2020). The Transmuted Gamma Gompertz Distribution.

International Journal of Research -GRANTHAALAYAH, 8(10):236–248.

Benrabia, M. and Alzoubi, L. (2021). Alzoubi distribution: Properties and applications.

Journal of Statistics Applications & Probability: An International Journal, -(-):1–16.

Accepted.

Chakravarti, I., Laha, R., and Roy, J. (1967). Handbook of Methods of Applied Statistics,

volume I. John Wiley and Sons.

Chhikara, R. and Folks, J. (1977). The inverse gaussian distribution as a lifetime model.

Technometrics, 19(2):461–468.

Gharaibeh, M. (2021). Gharaibeh Distribution and Its Applications. Journal of Statistics

Applications & Probability, 10(2):1–12.

Hannan, E. J. and Quinn, B. G. (1979). The determination of the order of an autoregres-

sion. Journal of the Royal Statistical Society. Series B (Methodological), 41(2):190–195.

Joanes, D. and Gill, C. (1998). Comparing Measures of Sample Skewness and Kurtosis.

Journal of the Royal Statistical Society. Series D (The Statistician), 47(1):183–189.

Johnson, N., Kotz, S., and Balakrishnan, N. (1994). Continuous Univariate Distribu-

tions, volume 1. Wiley and Sons, Inc., New York, 2nd edition.

Kakwani, N. and Podder, N. (1976). Efficient estimation of the lorenz curve and associ-

ated inequality measures from grouped observations. Econometrica, 44(1):137–148.

Kingman, J. (1982). The coalescent. Stochastic Processes and their Applications,

(3):235–248.

Konishi, S., Ando, T., and Imoto, S. (2004). Bayesian information criteria and smoothing

parameter selection in radial basis function networks. Biometrika, 91(1):27–43.

Meraj, A., Asgharzadeh, A., and Hassan, S. (2019). A new compound gamma and

lindley distribution with application to failure data. Austrian Journal of Statistics,

:54–75.

Merovci, F. and Elbatal, I. (2014). Transmuted Lindley-Geometric Distribution and its

Applications. Journal of Statistics Applications & Probability, 3(1):77–91.

Nosakhare, F., Nzei, L., and Opone, F. (2020). A new mixture of exponential-gamma

distribution. Journal of Science, 33(2):548–564.

Pham-Gia, T. and Hung, T. (2001). The mean and median absolute deviations. Math-

ematical and Computer Modelling, 34(7):921–936.

R Core Team (2020). R: A Language and Environment for Statistical Computing. R

Foundation for Statistical Computing, Vienna, Austria.

Rabaiah, F. S. (2018). Generalizations of power function and type-i half logistic distri-

butions using quadratic transmutation map. Master’s thesis, Department of Mathe-

matics, Al al-Bayt University, Mafraq, Jordan.

Rényi, A. (1961). On measures of entropy and information. Proceedings of the 4th

Berkeley Symposium on Mathematical Statistics and Probability, 1:547–561.

Saadeh, F. (2019). Generalization to some distributions using transmutation maps.

Master’s thesis, Al al-Bayt University.

Samir, A., Darwish, D., and Ahmad, S. (2018). Log-gamma-rayleigh distribution: Prop-

erties and applications. GU Journal of Science, 31(3):967–983.

Shanker, R. (2015). Shanker distribution and its applications. International Journal of

Statistics and Applications, 5(6):338–348.

Shanker, R. (2016). Aradhana Distribution and its Applications. International Journal

of Statistics and Applications, 6(1):23–34.

Shanker, R. (2017). Rama distribution and its application. International Journal of

Statistics and Applications, 7(1):26–35.

Shanker, R. and Shukla, K. K. (2017). Ishita distribution and its applications. Biometrics

& Biostatistics International Journal, 5(2):1–9.

Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Tech-

nical Journal, 27:379–423, 623–656.

Shraa, D. and Al-Omari, A. (2019). Darna distribution: properties and application.

Electronic Journal of Applied Statistical Analysis, 12(2):520–541.

Wang, Q. (2008). Probability distribution and entropy as a measure of uncertainty.

Journal of Physics A Mathematical General, 41(6):1–12.

Weibull, W. (1951). A statistical distribution function of wide applicability. Journal of

Applied Mechanics, 18:292–297.

Full Text: pdf