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Meijer’in G fonksiyonu ve istatistik teorisinde kullanımı

Year 2009, Volume 2, Issue 2, 59 - 69, 01.06.2009

F. Erdugan S.Y. Öncel

Abstract

Keywords

-

References

  • M. Abramowitz, I. A. Stegun, (1970), Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables, National Bureau Of Standards Applied Math. Series 55, 10th Printing.
  • E. Beutner, U. Kamps , (2008), Models Of Ordered Data And Products Of Beta Random Variables, Advances In Mathematical And Statistical Modeling, 101-106, Chapter 8, Birkhäuser Boston, Edit By Bc Arnold, N Balakrishnan, Jm Sarabia, R.
  • F. Erdugan, (2007), Meijer’in Genelle.tirilmi. Fonksiyonu Ve statistikte Kullan)m), Yüksek Lisans Tezi, K r kkale Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dal , K r kkale (Yay nlanmam Yüksek Lisans Tezi). E. E. Fitchard, V. Franco, (1980), Differential Properties Of Meijer’s G-Function, J.Phys. A.Math.Gen.,13, 2331–2340.
  • A. G. Glen, L. M. Lemis, J. H. Drew, (2004), Computing The Distribution Of The Product Of Two Continuous Random Variables, Computational Statistics And Data Analysis, 44, 3, 451-464.
  • T. S. Glickman, F. Xu, (2008), The Distribution Of The Product Of Two Triangular Random Variables, Statistics And Probability Letters, 78, 16, 2821-2826.
  • A. M. Mathai, (1993), A Handbook Of Generalized Special Functions For Statistical And Physical Sciences, Clarendon Press, Oxford.
  • A. M. Mathai, H. J. Haubold, (2002), Review Of Mathematical Techniques Applicable In Astrophysical Reaction Rate Theory, Astrophysics And Space Science, 282, 265-280.
  • S. Nadarajah, S. Kotz, (2006), Comments On “On The Distribution Of The Product Of Independent Rayleigh Random Variables”, Ieee Transactions On Antennas And Propagation, 54, 11, 3570-3571.
  • S. Nadarajah, A. K. Gupta, (2008), A Product Pareto Distribution, Metrika, 68, 2, 199-208.
  • S. Nadarajah, (2008), Exact Distribution Of The Linear Combination Of P Gumbel Random Variables, International Journal Of Computer Mathematics, 85, 9, 1355–1362.
  • V. K. Rohatgi, (1976), An Introduction To Probability Theory Mathematical Statistics, Wiley, New York.
  • J. Salo, H. M. El-Sallabi, P. Vainikainen, (2006), The Distribution Of The Product Of Independent Rayleigh Random Variables, Ieee Transact ons On Antennas And Propagat on, 54, 2, 639-643.
  • M. D. Springer, W. E. Thompson, (1966), The Distribution Of Products Of ndependent Random Variables. Siam Journal On Applied Mathematics 14, 3, 511–526.
  • M. D. Springer, W. E. Thompson, (1970), The Distribution Of Products Of Beta, Gamma And Gaussian Random Variables, Siam Journal On Applied Mathematics, 18, 4, 721–73.
  • M. D. Springer, (1979), The Algebra Of Random Variables, Wiley, New York.
  • A. <amilov, E. A$ao$lu, Y. M. Kantar, (2006), Dirac Ve Heaviside Genelle.tirilmi. Fonksiyonlar)n) Kullanarak Rastgele De i.kenlerin Da )l)mlar)n)n Elde Edilmesi, "statistik Günleri Sempozyumu, Antalya, 123-128.

Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı

Year 2009, Volume 2, Issue 2, 59 - 69, 01.06.2009

F. Erdugan S.Y. Öncel

Abstract

Keywords

Meijer’in G fonksiyonu, Mellin dönüşümü, Rastgele değişkenlerin dönüşümünün dağılımı

References

  • M. Abramowitz, I. A. Stegun, (1970), Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables, National Bureau Of Standards Applied Math. Series 55, 10th Printing.
  • E. Beutner, U. Kamps , (2008), Models Of Ordered Data And Products Of Beta Random Variables, Advances In Mathematical And Statistical Modeling, 101-106, Chapter 8, Birkhäuser Boston, Edit By Bc Arnold, N Balakrishnan, Jm Sarabia, R.
  • F. Erdugan, (2007), Meijer’in Genelle.tirilmi. Fonksiyonu Ve statistikte Kullan)m), Yüksek Lisans Tezi, K r kkale Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dal , K r kkale (Yay nlanmam Yüksek Lisans Tezi). E. E. Fitchard, V. Franco, (1980), Differential Properties Of Meijer’s G-Function, J.Phys. A.Math.Gen.,13, 2331–2340.
  • A. G. Glen, L. M. Lemis, J. H. Drew, (2004), Computing The Distribution Of The Product Of Two Continuous Random Variables, Computational Statistics And Data Analysis, 44, 3, 451-464.
  • T. S. Glickman, F. Xu, (2008), The Distribution Of The Product Of Two Triangular Random Variables, Statistics And Probability Letters, 78, 16, 2821-2826.
  • A. M. Mathai, (1993), A Handbook Of Generalized Special Functions For Statistical And Physical Sciences, Clarendon Press, Oxford.
  • A. M. Mathai, H. J. Haubold, (2002), Review Of Mathematical Techniques Applicable In Astrophysical Reaction Rate Theory, Astrophysics And Space Science, 282, 265-280.
  • S. Nadarajah, S. Kotz, (2006), Comments On “On The Distribution Of The Product Of Independent Rayleigh Random Variables”, Ieee Transactions On Antennas And Propagation, 54, 11, 3570-3571.
  • S. Nadarajah, A. K. Gupta, (2008), A Product Pareto Distribution, Metrika, 68, 2, 199-208.
  • S. Nadarajah, (2008), Exact Distribution Of The Linear Combination Of P Gumbel Random Variables, International Journal Of Computer Mathematics, 85, 9, 1355–1362.
  • V. K. Rohatgi, (1976), An Introduction To Probability Theory Mathematical Statistics, Wiley, New York.
  • J. Salo, H. M. El-Sallabi, P. Vainikainen, (2006), The Distribution Of The Product Of Independent Rayleigh Random Variables, Ieee Transact ons On Antennas And Propagat on, 54, 2, 639-643.
  • M. D. Springer, W. E. Thompson, (1966), The Distribution Of Products Of ndependent Random Variables. Siam Journal On Applied Mathematics 14, 3, 511–526.
  • M. D. Springer, W. E. Thompson, (1970), The Distribution Of Products Of Beta, Gamma And Gaussian Random Variables, Siam Journal On Applied Mathematics, 18, 4, 721–73.
  • M. D. Springer, (1979), The Algebra Of Random Variables, Wiley, New York.
  • A. <amilov, E. A$ao$lu, Y. M. Kantar, (2006), Dirac Ve Heaviside Genelle.tirilmi. Fonksiyonlar)n) Kullanarak Rastgele De i.kenlerin Da )l)mlar)n)n Elde Edilmesi, "statistik Günleri Sempozyumu, Antalya, 123-128.

Details

Primary Language Turkish
Journal Section Articles
Authors

F. Erdugan This is me

S.Y. Öncel>

Publication Date June 1, 2009
Published in Issue Year 2009, Volume 2, Issue 2

Cite

Bibtex @ { jssa123867, journal = {İstatistikçiler Dergisi:İstatistik ve Aktüerya}, issn = {1308-0539}, eissn = {1308-0539}, address = {}, publisher = {Aktüerya Derneği}, year = {2009}, volume = {2}, number = {2}, pages = {59 - 69}, title = {Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı}, key = {cite}, author = {Erdugan, F. and Öncel, S.Y.} }
APA Erdugan, F. & Öncel, S. (2009). Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı . İstatistikçiler Dergisi:İstatistik ve Aktüerya , 2 (2) , 59-69 . Retrieved from https://dergipark.org.tr/en/pub/jssa/issue/10041/123867
MLA Erdugan, F. , Öncel, S. "Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı" . İstatistikçiler Dergisi:İstatistik ve Aktüerya 2 (2009 ): 59-69 <https://dergipark.org.tr/en/pub/jssa/issue/10041/123867>
Chicago Erdugan, F. , Öncel, S. "Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı". İstatistikçiler Dergisi:İstatistik ve Aktüerya 2 (2009 ): 59-69
RIS TY - JOUR T1 - Meijer’in G fonksiyonu ve istatistik teorisinde kullanımı AU - F.Erdugan, S.Y.Öncel Y1 - 2009 PY - 2009 N1 - DO - T2 - İstatistikçiler Dergisi:İstatistik ve Aktüerya JF - Journal JO - JOR SP - 59 EP - 69 VL - 2 IS - 2 SN - 1308-0539-1308-0539 M3 - UR - Y2 - 2023 ER -
EndNote %0 Journal of Statisticians: Statistics and Actuarial Sciences Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı %A F. Erdugan , S.Y. Öncel %T Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı %D 2009 %J İstatistikçiler Dergisi:İstatistik ve Aktüerya %P 1308-0539-1308-0539 %V 2 %N 2 %R %U
ISNAD Erdugan, F. , Öncel, S.Y. . "Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı". İstatistikçiler Dergisi:İstatistik ve Aktüerya 2 / 2 (June 2009): 59-69 .
AMA Erdugan F. , Öncel S. Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı. JSSA. 2009; 2(2): 59-69.
Vancouver Erdugan F. , Öncel S. Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı. İstatistikçiler Dergisi:İstatistik ve Aktüerya. 2009; 2(2): 59-69.
IEEE F. Erdugan and S. Öncel , "Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı", İstatistikçiler Dergisi:İstatistik ve Aktüerya, vol. 2, no. 2, pp. 59-69, Jun. 2009