Araştırma Makalesi

Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process

Cilt: 5 Sayı: 4 1 Ekim 2017
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Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process

Abstract

One of the important problems of stochastic process theory is to define the Laplace transformations for the distribution of this process. With this purpose, we will investigate a semi-Markov random processes with positive tendency and negative jump in this article. The first falling moment into the zero-level of this process is constructed as mathematically and the Laplace transformation of this random variable is obtained.

Keywords

Kaynakça

  1. Afanas’eva, L. G., Bulinskaya, E. V., ’Some asymptotical results for random walks in a strip’ Teor. Veroyatn. Primen. 29, 4, 658-668 (1983).
  2. Borovkov, A. A., Stochastic Processes in The Theory of Queues, Nauka, Moscow 1972.
  3. Borovkov A. A., ’On the asymptotic behaviour of the distributions of the first passage’, Mat. Zametki, Vol.75, No.1, pp.24-39, (2004).
  4. Feller, W., An Introduction to Probability Theory and Its Applications, Vol. I, Wiley, New York 1968.
  5. Gihman, I. I., Skorohod, A. V., The Theory of Stochastic Processes II, Springer-Verlag, 1975.
  6. Lotov, V. I., On some boundary crossing problems for gaussian random walks, The Annals of Probab., 24, 1996, pp.2154-2171, (1996).
  7. Lotov, V. I., ’On the asymptotics of distributions in two-sided boundary problems for random walks defined on a Markov chain’, Sib. Adv. Math. 1, 3, 26-51 (1991).
  8. Nasirova, T. H, Karimova ,U. Y., ’Definition of Laplace transform of the first passage of zero level of the semimarkov random process with positive tendency and negative jump2, Applied mathematics, 2, pp. 908-912, (2011).

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Ulviyya Y. Karimova Bu kişi benim
Azerbaijan

Yayımlanma Tarihi

1 Ekim 2017

Gönderilme Tarihi

8 Eylül 2017

Kabul Tarihi

16 Ekim 2017

Yayımlandığı Sayı

Yıl 1970 Cilt: 5 Sayı: 4

Kaynak Göster

APA
Maden, S., & Karimova, U. Y. (2017). Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process. New Trends in Mathematical Sciences, 5(4), 165-171. https://izlik.org/JA76HB42FG
AMA
1.Maden S, Karimova UY. Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process. New Trends in Mathematical Sciences. 2017;5(4):165-171. https://izlik.org/JA76HB42FG
Chicago
Maden, Selahattin, ve Ulviyya Y. Karimova. 2017. “Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process”. New Trends in Mathematical Sciences 5 (4): 165-71. https://izlik.org/JA76HB42FG.
EndNote
Maden S, Karimova UY (01 Ekim 2017) Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process. New Trends in Mathematical Sciences 5 4 165–171.
IEEE
[1]S. Maden ve U. Y. Karimova, “Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process”, New Trends in Mathematical Sciences, c. 5, sy 4, ss. 165–171, Eki. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA76HB42FG
ISNAD
Maden, Selahattin - Karimova, Ulviyya Y. “Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process”. New Trends in Mathematical Sciences 5/4 (01 Ekim 2017): 165-171. https://izlik.org/JA76HB42FG.
JAMA
1.Maden S, Karimova UY. Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process. New Trends in Mathematical Sciences. 2017;5:165–171.
MLA
Maden, Selahattin, ve Ulviyya Y. Karimova. “Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process”. New Trends in Mathematical Sciences, c. 5, sy 4, Ekim 2017, ss. 165-71, https://izlik.org/JA76HB42FG.
Vancouver
1.Selahattin Maden, Ulviyya Y. Karimova. Determination of the laplace transform for the first falling moment to zero level of a semi-Markov random process. New Trends in Mathematical Sciences [Internet]. 01 Ekim 2017;5(4):165-71. Erişim adresi: https://izlik.org/JA76HB42FG