BibTex RIS Cite

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.
There are 16 citations in total.

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

IEEE F. Erdugan and S. Öncel, “Meijer’in G fonksiyonu ve istatistik teorisinde kullanmı”, JSSA, vol. 2, no. 2, pp. 59–69, 2009.