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MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS

Year 2015, Volume: 10 Issue: 3, 51 - 54, 10.07.2015

Ayşe Turan Buğatekin

Abstract

More advance, it has studied the paper that finding of expected values for sample range of order statistics from the geometric distribution. In this paper, for sample minimum of order statistics from geometric distributions, moment generating function is obtained.

Keywords

Order Statistics Moment Generating Functions Geometric Distribution Distribution Function Sample Extremes.

References

  • • Abdel-ATY, S.H., (1954). Ordered variables in discontinuous distributions. Stat. Neerlandica 8, 61-82.
  • • Arnold, B.C., Balakrishnan, N. and Nagaraja, H.N., (1992). A First Course in Order Statistics. John Wiley and Sons, New York.
  • • Balakrihnan, N. and RAO, C.R., (1998). Handbook of statistics 16-Order Statistics: Theory and Methods, Elsevier, New York.
  • • David, H.A., (1981). Order Statistics, Second Edition. John Wiley and Sons, New York.
  • • Ferguson, T.S., (1967). On characterizing distributions by properties of order statistics. Sankhyd..A. 29, 265-278.
  • • Galambos, J., (1975). Characterizations of probability distributions by properties of order statistics. In: G.P. Patil, S. Kotz and G.K. Ord, cds., Statistical distributions in scientific work, Characterization and Applications, Dordrect, 2, 289-101.
  • • Margolin, B.H. and Winokur, H.S.,(1967).Exact Moments of the Order Statistics of the Geometric Distribution and Their Relation to Inverse Sampling and reliability of redundant systems. J. Amer. Statist. Ass. 62, 915-925.
  • • Srivastava, R.C., (1974). Two characterizations of the geometric distribution. J. Amer. Statist. Assoc. 69, 267-269.

GEOMETRİK DAĞILIMDAKİ SIRA İSTATİSTİKLERİN ÖRNEK MİNİMUMUNUN MOMENT ÇIKARAN FONKSİYONU

Year 2015, Volume: 10 Issue: 3, 51 - 54, 10.07.2015

Ayşe Turan Buğatekin

Abstract

Geometrik dağılımdaki sıra istatistiklerin örnek aralığının beklenen yapılmıştır. istatistiklerin bulunmuştur

Keywords

Sıra İstatistikleri Moment Çıkaran

References

  • • Abdel-ATY, S.H., (1954). Ordered variables in discontinuous distributions. Stat. Neerlandica 8, 61-82.
  • • Arnold, B.C., Balakrishnan, N. and Nagaraja, H.N., (1992). A First Course in Order Statistics. John Wiley and Sons, New York.
  • • Balakrihnan, N. and RAO, C.R., (1998). Handbook of statistics 16-Order Statistics: Theory and Methods, Elsevier, New York.
  • • David, H.A., (1981). Order Statistics, Second Edition. John Wiley and Sons, New York.
  • • Ferguson, T.S., (1967). On characterizing distributions by properties of order statistics. Sankhyd..A. 29, 265-278.
  • • Galambos, J., (1975). Characterizations of probability distributions by properties of order statistics. In: G.P. Patil, S. Kotz and G.K. Ord, cds., Statistical distributions in scientific work, Characterization and Applications, Dordrect, 2, 289-101.
  • • Margolin, B.H. and Winokur, H.S.,(1967).Exact Moments of the Order Statistics of the Geometric Distribution and Their Relation to Inverse Sampling and reliability of redundant systems. J. Amer. Statist. Ass. 62, 915-925.
  • • Srivastava, R.C., (1974). Two characterizations of the geometric distribution. J. Amer. Statist. Assoc. 69, 267-269.
There are 8 citations in total.

Details

Primary Language English
Journal Section Statistics
Authors

Ayşe Turan Buğatekin

Publication Date July 10, 2015
Published in Issue Year 2015 Volume: 10 Issue: 3

Cite

APA Turan Buğatekin, A. (2015). MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS. Physical Sciences, 10(3), 51-54. https://doi.org/10.12739/NWSA.2015.10.3.3A0073
AMA Turan Buğatekin A. MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS. Physical Sciences. July 2015;10(3):51-54. doi:10.12739/NWSA.2015.10.3.3A0073
Chicago Turan Buğatekin, Ayşe. “MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS”. Physical Sciences 10, no. 3 (July 2015): 51-54. https://doi.org/10.12739/NWSA.2015.10.3.3A0073.
EndNote Turan Buğatekin A (July 1, 2015) MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS. Physical Sciences 10 3 51–54.
IEEE A. Turan Buğatekin, “MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS”, Physical Sciences, vol. 10, no. 3, pp. 51–54, 2015, doi: 10.12739/NWSA.2015.10.3.3A0073.
ISNAD Turan Buğatekin, Ayşe. “MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS”. Physical Sciences 10/3 (July 2015), 51-54. https://doi.org/10.12739/NWSA.2015.10.3.3A0073.
JAMA Turan Buğatekin A. MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS. Physical Sciences. 2015;10:51–54.
MLA Turan Buğatekin, Ayşe. “MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS”. Physical Sciences, vol. 10, no. 3, 2015, pp. 51-54, doi:10.12739/NWSA.2015.10.3.3A0073.
Vancouver Turan Buğatekin A. MOMENT GENERATING FUNCTIONS OF SAMPLE MINIMUM OF ORDER STATISTICS FROM GEOMETRIC DISTRIBUTIONS. Physical Sciences. 2015;10(3):51-4.