Journal of the Korean Statistical Society

  • 제36권3호
  • /
  • Pages.335-347
  • /
  • 2007
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

ORDER RESTRICTED TESTS FOR SYMMETRY AGAINST POSITIVE BIASEDNESS

  • Oh, Myong-Sik (Department of Statistics, Pusan University of Foreign Studies)
  • 발행 : 2007.09.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Two new types of positive biasedness, which are closely related to Type III positive biasedness (Yanagimoto and Sibuya, 1972), are proposed. We call these near Type III positive biasedness. Though no implication between Type II and near Type III biasedness exists, near Type III seems to be less restrictive than Type II biasedness. Constrained maximum likelihood estimates of distribution functions under near Type III positive bisedness are obtained. The likelihood ratio tests of symmetry against new positive biasedness restrictions are proposed. A small simulation study is conducted to compare the performance of the tests.

키워드

참고문헌

  1. DYKSTRA, R., KOCHAR, S. AND ROBERTSON, T. (1991). 'Statistical inference for uniform stochastic ordering in several populations', The Annals of Statistics, 19, 870-888 https://doi.org/10.1214/aos/1176348125
  2. DYKSTRA, R., KOCHAR, S. AND ROBERTSON, T. (1995a). 'Inference for likelihood ratio ordering in the two-sample problem', Journal of the American Statistical Association, 90,1034-1040 https://doi.org/10.2307/2291340
  3. DYKSTRA, R., KOCHAR, S. AND ROBERTSON, T. (1995b). 'Likelihood ratio tests for symmetry against one-sided alternatives', Annals of the Institute of Statistical Mathematics, 47, 719-730 https://doi.org/10.1007/BF01856543
  4. PARK, C. G., LEE, C.-I. C. AND ROBERTSON, T. (1998). 'Goodness-of-fit test for uniform stochastic ordering among several distributions', The Canadian Journal of Statistics, 26, 69-81 https://doi.org/10.2307/3315674
  5. ROJO, J. AND SAMANIEGO, F. J. (1991). 'On nonparametric maximum likelihood estimation of a distribution uniformly stochastically smaller than a standard', Statistics & Probability Letters, 11, 267-271 https://doi.org/10.1016/0167-7152(91)90154-J
  6. ROBERTSON, T., WRIGHT, F. T. AND DYKSTRA, R. L. (1988). Order Restricted Statistical Inference, John Wiley & Sons, New York
  7. YANAGIMOTO, T. AND SIBUYA, M. (1972). 'Test of symmetry of a one-dimensional distribution against positive biasedness', Annals of the Institute of Statistical Mathematics, 24, 423-434 https://doi.org/10.1007/BF02479771