Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 11 Sayı: 1, 23 - 47, 30.06.2021
https://doi.org/10.37094/adyujsci.873193

Öz

Kaynakça

  • [1] Eryılmaz, S., Gong, M., Xie, M., Generalized sooner waiting time problems in a sequence of trinary trials, Statistics and probability Letters, 115, 70-78, 2016.
  • [2] Philippou, A.N., Georghiou, C., Philippou, G.N., A generalized geometric distribution and some of its properties, Statistics and probability Letters, 1, 171-175, 1983.
  • [3] Eryılmaz, S., Geometric distribution of order k with a reward, Statistics and probability Letters, 92, 53-58, 2014.
  • [4] Koutras, M.V., Alexandrou, V.A., Sooner waiting time problems in a sequence of trinary trials, Journal Applied Probability, 34, 593-609, 1997.
  • [5] Demir, S., Eryılmaz, S., Run statistics in a sequence of arbitrarily dependent binary trials, Statistical Papers, 51(4), 959-973, 2010.
  • [6] Mallor, F., Santos, J., Reliability of systems subject to shocks with a stochastic dependence for the damages, Sociedad de Estadistica e Investigacion Opevativa Test, 12(2), 427-444, 2003.
  • [7] Khan, M.A., Khalique, A., Abouammoh, A.M., On estimating parameters in a discrete Weibull distribution, IEEE Transactions on Reliability, 38(3), 348-350, 1989.

Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws

Yıl 2021, Cilt: 11 Sayı: 1, 23 - 47, 30.06.2021
https://doi.org/10.37094/adyujsci.873193

Öz

Let $\ksi1, \ksi2, ....$ be a sequence of independent trials with two possible outcomes, “0” and “1” where “1” represents the success of Type-I, and “0” denotes the success of Type-II. For nonnegative integers kr and kl using a reward scheme, we obtained the distribution of the number of trials (W) until the sum of consecutive rewards of Type-I is equal to or exceeds the
level kr, or the sum of consecutive rewards of Type-II is equal to or exceeds the level kl. The geometric distributed rewards are studied by Eryılmaz et al. in [1]. In this study, the survival function of W is obtained for binary sequence with Bernoulli and exponential rewards as well as geometric rewards. A simulation study is performed to compare the theoretical and simulated probabilities. Proportion estimates are also discussed for distribution of with geometric rewards.

Kaynakça

  • [1] Eryılmaz, S., Gong, M., Xie, M., Generalized sooner waiting time problems in a sequence of trinary trials, Statistics and probability Letters, 115, 70-78, 2016.
  • [2] Philippou, A.N., Georghiou, C., Philippou, G.N., A generalized geometric distribution and some of its properties, Statistics and probability Letters, 1, 171-175, 1983.
  • [3] Eryılmaz, S., Geometric distribution of order k with a reward, Statistics and probability Letters, 92, 53-58, 2014.
  • [4] Koutras, M.V., Alexandrou, V.A., Sooner waiting time problems in a sequence of trinary trials, Journal Applied Probability, 34, 593-609, 1997.
  • [5] Demir, S., Eryılmaz, S., Run statistics in a sequence of arbitrarily dependent binary trials, Statistical Papers, 51(4), 959-973, 2010.
  • [6] Mallor, F., Santos, J., Reliability of systems subject to shocks with a stochastic dependence for the damages, Sociedad de Estadistica e Investigacion Opevativa Test, 12(2), 427-444, 2003.
  • [7] Khan, M.A., Khalique, A., Abouammoh, A.M., On estimating parameters in a discrete Weibull distribution, IEEE Transactions on Reliability, 38(3), 348-350, 1989.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematiksel Fizik
Bölüm Matematik
Yazarlar

Fatih Şahin 0000-0002-2012-0021

Coşkun Kuş 0000-0002-7176-0176

İsmail Kınacı 0000-0002-0992-4133

Kadir Karakaya 0000-0002-0781-3587

Yunus Akdoğan 0000-0003-3520-7493

Yayımlanma Tarihi 30 Haziran 2021
Gönderilme Tarihi 2 Şubat 2021
Kabul Tarihi 13 Nisan 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 11 Sayı: 1

Kaynak Göster

APA Şahin, F., Kuş, C., Kınacı, İ., Karakaya, K., vd. (2021). Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws. Adıyaman University Journal of Science, 11(1), 23-47. https://doi.org/10.37094/adyujsci.873193
AMA Şahin F, Kuş C, Kınacı İ, Karakaya K, Akdoğan Y. Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws. ADYU J SCI. Haziran 2021;11(1):23-47. doi:10.37094/adyujsci.873193
Chicago Şahin, Fatih, Coşkun Kuş, İsmail Kınacı, Kadir Karakaya, ve Yunus Akdoğan. “Parameter Estimation on Geometric Distribution of Order K With Different Reward Laws”. Adıyaman University Journal of Science 11, sy. 1 (Haziran 2021): 23-47. https://doi.org/10.37094/adyujsci.873193.
EndNote Şahin F, Kuş C, Kınacı İ, Karakaya K, Akdoğan Y (01 Haziran 2021) Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws. Adıyaman University Journal of Science 11 1 23–47.
IEEE F. Şahin, C. Kuş, İ. Kınacı, K. Karakaya, ve Y. Akdoğan, “Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws”, ADYU J SCI, c. 11, sy. 1, ss. 23–47, 2021, doi: 10.37094/adyujsci.873193.
ISNAD Şahin, Fatih vd. “Parameter Estimation on Geometric Distribution of Order K With Different Reward Laws”. Adıyaman University Journal of Science 11/1 (Haziran 2021), 23-47. https://doi.org/10.37094/adyujsci.873193.
JAMA Şahin F, Kuş C, Kınacı İ, Karakaya K, Akdoğan Y. Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws. ADYU J SCI. 2021;11:23–47.
MLA Şahin, Fatih vd. “Parameter Estimation on Geometric Distribution of Order K With Different Reward Laws”. Adıyaman University Journal of Science, c. 11, sy. 1, 2021, ss. 23-47, doi:10.37094/adyujsci.873193.
Vancouver Şahin F, Kuş C, Kınacı İ, Karakaya K, Akdoğan Y. Parameter Estimation on Geometric Distribution of Order k with Different Reward Laws. ADYU J SCI. 2021;11(1):23-47.

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