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A new distribution model with two-parameter

Yıl 2017, Cilt: 5 Sayı: 2, 80 - 84, 30.03.2017

Öz

This paper deals with a two-parameter new mix distribution called as RL (Rayleigh- Logarithmic) distribution with increasing failure rate. Firstly, probability density function, distribution function, r th moment, survival and hazard functions of this two-parameter RL distribution are examined. Then, estimation of parameters by using standard statistical techniques such as maximum likelihood method and entropy are given for the new mix model. In the application part, a real data set is receipted and when RL distribution compared with other distributions, this RL distribution is shown be a good competitor.

Kaynakça

  • Lewin, L. Polylogarithms and Associated Functions, North Holland Amsterdam, 1981.
  • Adamidis, K., Loukas, S. A mix Distributions with Decreasing Failure Rate, Statist. Probab. Lett., 39, 35-42, 1998.
  • Tugrul, O.R. Energy sector and wind energy Potential in Turkey, Renewable Sustainable Energy Rev., 7, 469-484, 2003.
  • Ross, S.M., Shanthıkumar, J.G., Zhu, Z. On Increasing-Failure-Rate Random Variables, J. Appl. Prob., 42, 797- 809, 2005.
  • Lariviere, M. A Note on Probability Distributions with Increasing Generalized Failure Rates, Operations Research, 54/3, 602-604, 2006.
  • Kus, C. A New Lifetime Distribution, Comput. Statist. Data Anal., 51, 4497-4509, 2007.
  • Eskin, N., Artar, H., Tolun, S. Wind Energy Potential of Gokceada Island in Turkey, Renewable Sustainable Energy Rev. 12, 839-851, 2008.
  • Brusset, X. Properties of Distributions with Increasing Failure Rate, Munich Personal RePEc Archive, 2009.
  • Gupta, R.D., Kundu, D. A New Class of Weighted Exponential Distributions, Statistics, 43, 621-634, 2009.
  • Cancho, V.G., Louzada-Neto, F., Barriga, G.D.C. The Poissson- Exponential Mix Distributions, Comput. Stat. Data Anal., 55, 677-686, 2011.
  • Lu, W., Shi, D. A New Compounding Life Distribution: The Weibull-Poisson Distribution, J. of Appl. Stat., DOI:10.1080/02664763.2011.575126, 2011.
  • Silva, R.B., Cordeiro, G.M. The Burr XII Power Series Distributions: A New Compounding Family, Brazilian J. of Prob. and Stat., 29(3), 2013.
  • Bakouch, H.S., Jazi, M.A., Nadarajah, S., Dolati, A. A Lifetime Model with Increasing Failure Rate, Applied Mathematical Modelling, 38, 5392-5406, 2014.
  • Dey,S., Dey, T. Statistical Inference for the Rayleigh Distribution under Progressively Type II Censoring with Binomial Removal, Applied Mathematical Modelling, 38, 974-982, 2014.
Yıl 2017, Cilt: 5 Sayı: 2, 80 - 84, 30.03.2017

Öz

Kaynakça

  • Lewin, L. Polylogarithms and Associated Functions, North Holland Amsterdam, 1981.
  • Adamidis, K., Loukas, S. A mix Distributions with Decreasing Failure Rate, Statist. Probab. Lett., 39, 35-42, 1998.
  • Tugrul, O.R. Energy sector and wind energy Potential in Turkey, Renewable Sustainable Energy Rev., 7, 469-484, 2003.
  • Ross, S.M., Shanthıkumar, J.G., Zhu, Z. On Increasing-Failure-Rate Random Variables, J. Appl. Prob., 42, 797- 809, 2005.
  • Lariviere, M. A Note on Probability Distributions with Increasing Generalized Failure Rates, Operations Research, 54/3, 602-604, 2006.
  • Kus, C. A New Lifetime Distribution, Comput. Statist. Data Anal., 51, 4497-4509, 2007.
  • Eskin, N., Artar, H., Tolun, S. Wind Energy Potential of Gokceada Island in Turkey, Renewable Sustainable Energy Rev. 12, 839-851, 2008.
  • Brusset, X. Properties of Distributions with Increasing Failure Rate, Munich Personal RePEc Archive, 2009.
  • Gupta, R.D., Kundu, D. A New Class of Weighted Exponential Distributions, Statistics, 43, 621-634, 2009.
  • Cancho, V.G., Louzada-Neto, F., Barriga, G.D.C. The Poissson- Exponential Mix Distributions, Comput. Stat. Data Anal., 55, 677-686, 2011.
  • Lu, W., Shi, D. A New Compounding Life Distribution: The Weibull-Poisson Distribution, J. of Appl. Stat., DOI:10.1080/02664763.2011.575126, 2011.
  • Silva, R.B., Cordeiro, G.M. The Burr XII Power Series Distributions: A New Compounding Family, Brazilian J. of Prob. and Stat., 29(3), 2013.
  • Bakouch, H.S., Jazi, M.A., Nadarajah, S., Dolati, A. A Lifetime Model with Increasing Failure Rate, Applied Mathematical Modelling, 38, 5392-5406, 2014.
  • Dey,S., Dey, T. Statistical Inference for the Rayleigh Distribution under Progressively Type II Censoring with Binomial Removal, Applied Mathematical Modelling, 38, 974-982, 2014.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Ayse Turan Bugatekin

Yayımlanma Tarihi 30 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Bugatekin, A. T. (2017). A new distribution model with two-parameter. New Trends in Mathematical Sciences, 5(2), 80-84.
AMA Bugatekin AT. A new distribution model with two-parameter. New Trends in Mathematical Sciences. Mart 2017;5(2):80-84.
Chicago Bugatekin, Ayse Turan. “A New Distribution Model With Two-Parameter”. New Trends in Mathematical Sciences 5, sy. 2 (Mart 2017): 80-84.
EndNote Bugatekin AT (01 Mart 2017) A new distribution model with two-parameter. New Trends in Mathematical Sciences 5 2 80–84.
IEEE A. T. Bugatekin, “A new distribution model with two-parameter”, New Trends in Mathematical Sciences, c. 5, sy. 2, ss. 80–84, 2017.
ISNAD Bugatekin, Ayse Turan. “A New Distribution Model With Two-Parameter”. New Trends in Mathematical Sciences 5/2 (Mart 2017), 80-84.
JAMA Bugatekin AT. A new distribution model with two-parameter. New Trends in Mathematical Sciences. 2017;5:80–84.
MLA Bugatekin, Ayse Turan. “A New Distribution Model With Two-Parameter”. New Trends in Mathematical Sciences, c. 5, sy. 2, 2017, ss. 80-84.
Vancouver Bugatekin AT. A new distribution model with two-parameter. New Trends in Mathematical Sciences. 2017;5(2):80-4.