Some Cubic Rank Transmuted Distributions

Celik, Nuri

doi:10.2478/jamsi-2018-0011

Abstract

In this article, we introduce some examples of cubic rank transmuted distributions proposed by Granzatto et al. (2017). The statistical aspects of the introduced distributions such as probability density functions, hazard rate functions and reliability functions are studied. The maximum likelihood estimation method is used in order to estimate the parameters of interest. Finally, real data examples are applied for the illustration of these distributions.

References

[1] Abdul Moniem, I.B. and Seham, M (2015), Transmuted Gompertz Distribution, Computational and Applied Mathematics Journal, 1(3), 88-96
Search in Google Scholar Back to article
[2] Amoroso, L. R. (1925). Intorno Alla Curva dei Redditi. Annali de Mathematica, Series 4, 2, 123-159.10.1007/BF02409935
Search in Google Scholar Back to article
[3] Aryal G.R. and Tsokos C.P. (2011), Transmuted Weibull Distribution: A generalization of Weibull Probability Distributions. European Journal of Pure and Applied Mathematics, 4(2), 89-102.
Search in Google Scholar Back to article
[4] Aryal G.R. (2013), Transmuted log-Logistic Distribution. Journal of Statistics Applications and Probability, 2(1), 11-20.10.12785/jsap/020102
Search in Google Scholar Back to article
[5] Deka D., Das B. and Baruah B.K. (2017), Transmuted Exponentiated Gumbel Distribution (TEGD) and its Application to Water Quality Data. Pak.j.stat.oper.res., 8(1), 115-12610.18187/pjsor.v13i1.1636
Search in Google Scholar Back to article
[6] Elbatal, I. and Aryal, G.R. (2013), On the transmuted additiveWeibull distribution. Austrian Journal of Statistics, 42(2), 117-132.10.17713/ajs.v42i2.160
Search in Google Scholar Back to article
[7] Elbatal I, Asha G. and Raja A.V. (2014), Transmuted Exponentiated Frechet Distribution: Properties and Applications. Journal of Statistics Applications and Probability, 3(3), 379-394
Search in Google Scholar Back to article
[8] Good, I.J. (1953). The Population Frequencies of the Species and the Estimation of Population Parameters. Biometrika, 40, 237-260.10.1093/biomet/40.3-4.237
Search in Google Scholar Back to article
[9] Granzatto, D.C.T., Louzada, f. and Balakrishnan N. (2017), Cubic rank transmuted distributions: inferential issues and applications. Journal of Statistical Computation and Simulation, 87(14), 2760- 2778, [10] Hoskings, J.R.M. and Wallis, J.R. (1987). Parameter and Quantile Estimation for the Generalized Pareto Distribution. Technometrics, 29, 339-349.10.1080/00401706.1987.10488243
Search in Google Scholar Back to article
[11] Ljubo, M. (1965). Curves and Concentration Indices for Certain Generalized Pareto Distributions. Statistical Review,15, 257-260.
Search in Google Scholar Back to article
[12] Mahmoud, M.R. and Mandouh, R.M. (2013), On the transmuted Frechet distribution. Journal of Applied Sciences Research, 9(10), 5553-5561.
Search in Google Scholar Back to article
[13] McDonald, J.B. (1984). Some Generalized Functions for the Size Distribution of Income. Econometrica, 52, 647-663.10.2307/1913469
Search in Google Scholar Back to article
[14] Merovci, F. (2013), Transmuted Lindley distribution. International Journal of Open Problems in Computer Science and Mathematics, 6(2), 63-72.10.12816/0006170
Search in Google Scholar Back to article
[15] Nelson, W. (1982). Applied Life Data Analysis. John Wileya and Sons Inc.: New York.10.1002/0471725234
Search in Google Scholar Back to article
[16] Pickands, J. (1975). Statistical Inference Using Extreme Order Statistics. Annals of Statistics, 3, 119-131.10.1214/aos/1176343003
Search in Google Scholar Back to article
[17] Shaw W. and Buckley, I., (2007), The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtoticnormal distribution from a rank transmutation map, Research Report.
Search in Google Scholar Back to article
[18] Zaharim, A., Najid, S.K., Razali, A.M. and Sopian, K. (2009), Analysing Malaysian wind speed data using statistical distribution. In Proceedings of the 4th IASME/WSEAS International conference on energy AND environment, Cambridge, UK.
Search in Google Scholar Back to article

Some Cubic Rank Transmuted Distributions

Abstract

Paradigm

My account