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2009 | 29 | 2 | 115-129
Tytuł artykułu

Inference on the location parameter of exponential populations

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Studentization and analysis of variance are simple in Gaussian families because X̅ and S² are independent random variables. We exploit the independence of the spacings in exponential populations with location λ and scale δ to develop simple ways of dealing with inference on the location parameter, namely by developing an analysis of scale in the homocedastic independent k-sample problem.
Rocznik
Tom
29
Numer
2
Strony
115-129
Opis fizyczny
Daty
wydano
2009
otrzymano
2009-09-08
Twórcy
  • Universidade dos Açores, DM, and CEAUL
  • Universidade da Madeira, CCEE, and CEAUL
  • Universidade de Lisboa, DEIO and CEAUL
  • Universidade dos Açores, DEG, CEEAplA and CEAUL
Bibliografia
  • [1] A.A. Aspin, An examination and further developments of a formula arising in the problem of comparing two mean values, Biometrika 35 (1948), 88-97.
  • [2] A.A. Aspin, Tables for use in comparisons whose accuracy involves two variances, separately estimated, Biometrika 36 (1949), 290-293.
  • [3] M.F. Brilhante and S. Kotz, Infinite divisibility of the spacings of a Kotz-Kozubowski-Podgórski generalized Laplace model, Statistics & Probability Letters 78 (2008), 2433-2436.
  • [4] M.F. Brilhante, D. Pestana, J. Rocha and S. Velosa, Inferência Estatística Sobre Localização e Escala, Sociedade Portuguesa de Estatística, Ponta Delgada 2001.
  • [5] H.A. David and H.N. Nagaraja, Order Statistics, 3rd ed., Wiley, New York 2003.
  • [6] R.A. Fisher, Statistical Methods for Research Workers, Oliver and Boyd, Edinburgh 1925.
  • [7] N.L. Johnson, S. Kotz and N. Balakrishnan, Continuous Univariate Distributions, vol. 2, 2nd ed., Wiley, New York 1995.
  • [8] G.W. Oehlert, A First Course in Design and Analysis of Experiments, Freeman, New York 2000.
  • [9] V. Perlo, On the distribution of `Student's' ratio for samples of three drawn from the rectangular distribution, Biometrika 25 (1933), 203-204.
  • [10] D. Pestana, F. Brilhante and J. Rocha, The analysis of variance revisited, in Extreme Values and Additive Laws, Lisboa (1999), 73-77.
  • [11] D. Pestana and J. Rocha, Análise de escala - modelo exponencial, in A Estatística e o Futuro e o Futuro da Estatística, Salamandra, Lisboa (1993), 295-303.
  • [12] J. Rocha, Localização e Escala em Situações não Clássicas, Dissertação de Doutoramento, Universidade dos Açores, Ponta Delgada 1995.
  • [13] J. Rocha, Inference on location parameters - internally studentized statistics, Rev. Estat. (2001), 355-356.
  • [14] F.E. Satterthwaite, An approximate distribution of estimates of variance components, Biometrics Bulletin 2 (1946), 110-114.
  • [15] H. Scheffé, On solutions of the Behrens-Fisher problem based on the t-distribution, Ann. Math. Stat. 14 (1943), 35-44.
  • [16] H. Scheffé, A note on the Behrens-Fisher problem, Ann. Math. Stat. 15 (1944), 430-432.
  • [17] H. Smith, The problem of comparing the results of two experiments with unequal means, J. Council Sci. Industr. Res. 9 (1936), 211-212.
  • [18] Student, The probable error of the mean, (Reprinted in E.S. Pearson and J. Wishart, (1958) 'Student's' Collected Papers, Cambridge Univ. Press, Cambridge), Biometrika 6 (1908), 1-25.
  • [19] B.L. Welch, The significance of the difference between two means when the population variances are unequal, Biometrika 29 (1938), 350-361.
  • [20] B.L. Welch, On the comparison of several mean values: an alternative approach, Biometrika 38 (1951), 330-336.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1110
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