A New Mixture of Exponential-Gamma Distribution

Nosakhare EKHOSUEHI, (Girilmemişş)
Lawrence Chukwudumebi NZEI, (Girilmemişş)
Festus OPONE (Girilmemişş)
Gazi University Journal of Science
5 2
Yıl: 2020 Cilt: 33 Sayı: 2 Sayfa Aralığı: 548 - 564 Metin Dili: İngilizce DOI: 10.35378/gujs.475102 İndeks Tarihi: 04-11-2020

A New Mixture of Exponential-Gamma Distribution

Öz:
A new distribution called New Mixture of Exponential-Gamma Distribution is presented in thispaper. This new distribution contains exponential and standardized Lindley distributions as submodels. Some of the structural properties of the proposed distribution which include the survivalfunction, hazard rate function, moments, moment generating function, quantile function,distribution of order statistics and Renyi entropy are obtained. The maximum likelihood method ofestimation was used to estimate the parameters of the distribution. A Simulation study was carriedout to examine the performance and accuracy of the maximum likelihood estimates of the proposeddistribution. An application of the proposed distribution to two real lifetime datasets is presented toillustrate its usefulness and superiority over some existing related models.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Gupta, R.D., and Kundu, D., “Generalized Exponential Distributions”, Australian and New Zealand Journal of Statistics, 41: 173 –188, (1999).
  • [2] Nadarajah, S. and Gupta, A.K., “A Generalized Gamma Distribution with Application to Drought Data”, Mathematical Computation and Simulation, 74: 1-7, (2007).
  • [3] Mahdi, T., and Gupta, A.K., “A Generalization of The Gamma Distribution”, Journal of Data Science, 11:403-414, (2013).
  • [4] Stacy, E.W., “A Generalization of the Gamma Distribution”, Annals Mathematical Statistics, 33: 1187-1192, (1962).
  • [5] Elbatal, I., Merovci, F., and Elgarhy, M., “A New Generalized Lindley Distribution”, Mathematical Theory and Modelling, 3(13):30-47, (2013).
  • [6] Gayan, W. L., and Mavis, P., “A Generalized Power Lindley Distribution with Applications”, Asian Journal of Mathematics and Applications, ID: ama0169, 1-23, (2014).
  • [7] Samir, A., Darwish, D., and Ahmad, S., “Log-Gamma-Rayleigh Distribution: Properties and Applications”, GU Journal of Science, 31(3): 967-983, (2018).
  • [8] Amini, M., MirMostafaee, S. M. T. K and Ahmeadi, J., “Log-Gamma-Generated Families of Distributions”, Journal of Theoretical and Applied Statistics, 48 (4): 913-932, (2014)
  • [9] Lee, E. T., “Statistical Methods for Survival Data Analysis (2nd Edition)”, John Wiley and Sons Inc., New York, USA, (1992).
  • [10] Nichols, M.D., and Padgett W.F., “A Bootstrap Control Chart for Weibull Percentiles” Qual. Reliab. Engng. Int. 22:141–151, 691, (2006).
  • [11] Alzaatreh, A., Lee, C., Famoye, F., “A New Method for Generating Families of Continuous Distributions”, Metron, 71(1): 63-79, (2013).
  • [12] Eugene, N., Lee, C., Famoye, F., “Beta-Normal Distribution and its Applications”, Communication in Statistics-Theory and Methods, 31(4): 497-512, (2002).
  • [13] Patil, G.P. and C.R. Rao, “Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families”, Biometrics, 34: 179-189, (1978).
  • [14] Patill, G.P., C.R. Rao and M.V. Ratnaparkhi, “On Discrete Weighted Distributions and Their Use in Model Choice for Observed Data”, Communication in Statistics- Theory and Methods, 15: 907- 918, (1986).
  • [15] Resti, Y., Ismail N., and Jamaan S.H., “Estimation of Claim Cost Data Using Zero Adjusted Gamma and Inverse Gaussian Regression Models” Journal of Mathematical Statistics., 9: 186-192, (2013).
  • [16] Talangtam., T., and Sattayantham, P., “Fitting of finite mixture of lognormal distribution to motor insurance clams”, Journal of Mathematical Statistics, 8: 49-56, (2012).
  • [17] Satsayamon S., and Winai B., “A New Family of Generalized Gamma Distribution and its Application”, Journal of Mathematical Statistics, 10 (2): 211-220, (2014).
  • [18] Glasser, R., “Bathtub and Related Failure Rate Characterizations”, Journal of American Statistical Association, 75: 667-672, (1980).
  • [19] Peter H. W., “Kurtosis as Peakedness”, The American Statistician, 68:3, 191-195, (2014).
  • [20] Rényi, A., (1961). On measure of entropy and information. Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability 1, University of California Press, Berkeley, page 547-561, (1961).
  • [21] Nichols, M. D., and Padgett, W. J., “A bootstrap control chart for Weibull percentiles”, Quality & Reliability Engineering International, 22(2): 141-151, (2006).
  • [22] Lee, E. T., “Statistical Methods for Survival Data Analysis (2nd Edition)”, John Wiley and Sons Inc., New York, USA, (1992).
APA Ekhosuehi N, Nzei L, OPONE F (2020). A New Mixture of Exponential-Gamma Distribution. , 548 - 564. 10.35378/gujs.475102
Chicago Ekhosuehi Nosakhare,Nzei Lawrence,OPONE Festus A New Mixture of Exponential-Gamma Distribution. (2020): 548 - 564. 10.35378/gujs.475102
MLA Ekhosuehi Nosakhare,Nzei Lawrence,OPONE Festus A New Mixture of Exponential-Gamma Distribution. , 2020, ss.548 - 564. 10.35378/gujs.475102
AMA Ekhosuehi N,Nzei L,OPONE F A New Mixture of Exponential-Gamma Distribution. . 2020; 548 - 564. 10.35378/gujs.475102
Vancouver Ekhosuehi N,Nzei L,OPONE F A New Mixture of Exponential-Gamma Distribution. . 2020; 548 - 564. 10.35378/gujs.475102
IEEE Ekhosuehi N,Nzei L,OPONE F "A New Mixture of Exponential-Gamma Distribution." , ss.548 - 564, 2020. 10.35378/gujs.475102
ISNAD Ekhosuehi, Nosakhare vd. "A New Mixture of Exponential-Gamma Distribution". (2020), 548-564. https://doi.org/10.35378/gujs.475102
APA Ekhosuehi N, Nzei L, OPONE F (2020). A New Mixture of Exponential-Gamma Distribution. Gazi University Journal of Science, 33(2), 548 - 564. 10.35378/gujs.475102
Chicago Ekhosuehi Nosakhare,Nzei Lawrence,OPONE Festus A New Mixture of Exponential-Gamma Distribution. Gazi University Journal of Science 33, no.2 (2020): 548 - 564. 10.35378/gujs.475102
MLA Ekhosuehi Nosakhare,Nzei Lawrence,OPONE Festus A New Mixture of Exponential-Gamma Distribution. Gazi University Journal of Science, vol.33, no.2, 2020, ss.548 - 564. 10.35378/gujs.475102
AMA Ekhosuehi N,Nzei L,OPONE F A New Mixture of Exponential-Gamma Distribution. Gazi University Journal of Science. 2020; 33(2): 548 - 564. 10.35378/gujs.475102
Vancouver Ekhosuehi N,Nzei L,OPONE F A New Mixture of Exponential-Gamma Distribution. Gazi University Journal of Science. 2020; 33(2): 548 - 564. 10.35378/gujs.475102
IEEE Ekhosuehi N,Nzei L,OPONE F "A New Mixture of Exponential-Gamma Distribution." Gazi University Journal of Science, 33, ss.548 - 564, 2020. 10.35378/gujs.475102
ISNAD Ekhosuehi, Nosakhare vd. "A New Mixture of Exponential-Gamma Distribution". Gazi University Journal of Science 33/2 (2020), 548-564. https://doi.org/10.35378/gujs.475102
Sayfa Oluşturulma Tarihi
17-04-2024 16:49

İLETİŞİM

TÜBİTAK ULAKBİM TR Dizin

Yüzüncüyıl, İşçi Blokları Mahallesi

Muhsin Yazıcıoğlu Caddesi No:51/C

06530 Çankaya / ANKARA +90 (312) 298 92 00

trdizin@tubitak.gov.tr

TÜBİTAK ULAKBİM Ulusal Akademik Ağ ve Bilgi Merkezi Cahit Arf Bilgi Merkezi © Tüm Hakları Saklıdır. Gizlilik Politikası Kullanım Şartları