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Published in: Annals of Data Science 1/2021

16-04-2019

Zero-Truncated Poisson-Power Function Distribution

Authors: Idika Eke Okorie, Anthony Chukwudi Akpanta, Johnson Ohakwe, David Chidi Chikezie, Chris Uche Onyemachi, Manoj Kumar Rastogi

Published in: Annals of Data Science | Issue 1/2021

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Abstract

A three-parameter distribution with increasing, bathtub, and upside-down bathtub hazard rate characteristics is introduced. Various properties are discussed and nicely expressed in closed forms and the estimation of parameters is studied by the method of maximum likelihood. Numerical examples based on two real data-sets are presented.

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Appendix
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Literature
1.
go back to reference Adamidis K, Loukas S (1998) A lifetime distribution with decreasing failure rate. Stat Probab Lett 39(1):35–42CrossRef Adamidis K, Loukas S (1998) A lifetime distribution with decreasing failure rate. Stat Probab Lett 39(1):35–42CrossRef
2.
go back to reference Kuş C (2007) A new lifetime distribution. Comput Stat Data Anal 51(9):4497–4509CrossRef Kuş C (2007) A new lifetime distribution. Comput Stat Data Anal 51(9):4497–4509CrossRef
3.
go back to reference Ristić MM, Nadarajah S (2014) A new lifetime distribution. J Stat Comput Simul 84(1):135–150CrossRef Ristić MM, Nadarajah S (2014) A new lifetime distribution. J Stat Comput Simul 84(1):135–150CrossRef
4.
go back to reference Tahir MH, Zubair M, Cordeiro GM, Alzaatreh A, Mansoor M (2016) The Poisson-X family of distributions. J Stat Comput Simul 86(14):2901–2921CrossRef Tahir MH, Zubair M, Cordeiro GM, Alzaatreh A, Mansoor M (2016) The Poisson-X family of distributions. J Stat Comput Simul 86(14):2901–2921CrossRef
5.
go back to reference Glaser RE (1980) Bathtub and related failure rate characterizations. J Am Stat Assoc 75(371):667–672CrossRef Glaser RE (1980) Bathtub and related failure rate characterizations. J Am Stat Assoc 75(371):667–672CrossRef
6.
go back to reference Galton F (1883) Inquiries into human faculty and its development. Dent, London; (1928) Dutton, New York Galton F (1883) Inquiries into human faculty and its development. Dent, London; (1928) Dutton, New York
7.
go back to reference Moors JJA (1988) A quantile alternative for Kurtosis. Statistician 37:25–32CrossRef Moors JJA (1988) A quantile alternative for Kurtosis. Statistician 37:25–32CrossRef
8.
go back to reference Hassan AS, Hemeda SE (2016) A new family of additive Weibull-generated distributions. Int J Math Appl 4(2–A):151–164 Hassan AS, Hemeda SE (2016) A new family of additive Weibull-generated distributions. Int J Math Appl 4(2–A):151–164
9.
go back to reference Barreto-Souza W, Cribari-Neto F (2009) A generalization of the exponential-Poisson distribution. Stat Probab Lett 79(24):2493–2500CrossRef Barreto-Souza W, Cribari-Neto F (2009) A generalization of the exponential-Poisson distribution. Stat Probab Lett 79(24):2493–2500CrossRef
10.
go back to reference ul Haq MA, Butt NS, Usman RM, Fattah AA (2016) Transmuted power function distribution. Gazi Univ J Sci 29(1):177–185 ul Haq MA, Butt NS, Usman RM, Fattah AA (2016) Transmuted power function distribution. Gazi Univ J Sci 29(1):177–185
11.
go back to reference Cramér H (1928) On the composition of elementary errors. Almqvist & Wiksells, Stockholm Cramér H (1928) On the composition of elementary errors. Almqvist & Wiksells, Stockholm
13.
go back to reference Anderson TW, Darling DA (1952) Asymptotic theory of certain “goodness of fit” criteria based on stochastic processes. Ann Math Stat 23:193–212CrossRef Anderson TW, Darling DA (1952) Asymptotic theory of certain “goodness of fit” criteria based on stochastic processes. Ann Math Stat 23:193–212CrossRef
14.
go back to reference Kolmogorov A (1933) Sulla determinazione empirica di una lgge di distribuzione. Inst Ital Attuari Giorn 4:83–91 Kolmogorov A (1933) Sulla determinazione empirica di una lgge di distribuzione. Inst Ital Attuari Giorn 4:83–91
15.
go back to reference Smirnoff N (1939) Sur les écarts de la courbe de distribution empirique. Mat Sb 48(1):3–26 Smirnoff N (1939) Sur les écarts de la courbe de distribution empirique. Mat Sb 48(1):3–26
16.
go back to reference Scheffé H (1943) Statistical inference in the non-parametric case. Ann Math Stat 14(4):305–332CrossRef Scheffé H (1943) Statistical inference in the non-parametric case. Ann Math Stat 14(4):305–332CrossRef
17.
go back to reference Wolfowitz J (1949) Non-parametric statistical inference. In: Proceedings of the Berkeley symposium on mathematical statistics and probability. University of California Press, Berkeley, CA, pp 93–113 Wolfowitz J (1949) Non-parametric statistical inference. In: Proceedings of the Berkeley symposium on mathematical statistics and probability. University of California Press, Berkeley, CA, pp 93–113
18.
go back to reference Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19:716–723CrossRef Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19:716–723CrossRef
19.
go back to reference Schwarz GE (1978) Estimating the dimension of a model. Ann Stat 6:461–464CrossRef Schwarz GE (1978) Estimating the dimension of a model. Ann Stat 6:461–464CrossRef
20.
go back to reference Hurvich CM, Tsai C-L (1989) Regression and time series model selection in small samples. Biometrika 76:297–307CrossRef Hurvich CM, Tsai C-L (1989) Regression and time series model selection in small samples. Biometrika 76:297–307CrossRef
Metadata
Title
Zero-Truncated Poisson-Power Function Distribution
Authors
Idika Eke Okorie
Anthony Chukwudi Akpanta
Johnson Ohakwe
David Chidi Chikezie
Chris Uche Onyemachi
Manoj Kumar Rastogi
Publication date
16-04-2019
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 1/2021
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-019-00201-y

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