BibTex RIS Kaynak Göster

Meijer’in G fonksiyonu ve istatistik teorisinde kullanımı

Yıl 2009, Cilt: 2 Sayı: 2, 59 - 69, 01.06.2009

F. Erdugan S.Y. Öncel

Öz

Anahtar Kelimeler

-

Kaynakça

  • 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

Yıl 2009, Cilt: 2 Sayı: 2, 59 - 69, 01.06.2009

F. Erdugan S.Y. Öncel

Öz

Anahtar Kelimeler

Meijer’in G fonksiyonu Mellin dönüşümü Rastgele değişkenlerin dönüşümünün dağılımı

Kaynakça

  • 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.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

F. Erdugan Bu kişi benim

S.Y. Öncel

Yayımlanma Tarihi 1 Haziran 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 2

Kaynak Göster

IEEE F. Erdugan ve S. Öncel, “Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı”, JSSA, c. 2, sy. 2, ss. 59–69, 2009.