Independent x1 2

Distributed in the limit components of some chi-squared tests

Vassilly Voinov, Mikhail Nikulin, Natalie Pya

    Research output: Chapter in Book/Report/Conference proceedingChapter

    4 Citations (Scopus)

    Abstract

    Non-parametric and parametric explicit decompositions of the classical Pearson, Pearson-Fisher, Hsuan-Robson-Mirvaliev and other tests on a sum of asymptotically independent chi-squared random variables with one degree of freedom in case of non-equiprobable cells are discussed. The parametric decompositions can be used for constructing more powerful tests, and can be considered as alternative proofs of limit theorems for some chi-squared type goodness-of-fit statistics.

    Original languageEnglish
    Title of host publicationRecent Advances in Stochastic Modeling and Data Analysis
    PublisherWorld Scientific Publishing Co.
    Pages243-250
    Number of pages8
    ISBN (Electronic)9789812709691
    ISBN (Print)9812709681, 9789812709684
    DOIs
    Publication statusPublished - Jan 1 2007

    Fingerprint

    Chi-squared
    Chi-squared test
    Decompose
    Goodness of fit
    Limit Theorems
    Random variable
    Degree of freedom
    Statistics
    Alternatives
    Cell

    Keywords

    • Chi-squared tests
    • Decomposition of chi-squared tests
    • Modified chisquared tests
    • Power of goodness-of-fit tests

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Voinov, V., Nikulin, M., & Pya, N. (2007). Independent x1 2: Distributed in the limit components of some chi-squared tests. In Recent Advances in Stochastic Modeling and Data Analysis (pp. 243-250). World Scientific Publishing Co.. https://doi.org/10.1142/9789812709691_0030

    Independent x1 2 : Distributed in the limit components of some chi-squared tests. / Voinov, Vassilly; Nikulin, Mikhail; Pya, Natalie.

    Recent Advances in Stochastic Modeling and Data Analysis. World Scientific Publishing Co., 2007. p. 243-250.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Voinov, V, Nikulin, M & Pya, N 2007, Independent x1 2: Distributed in the limit components of some chi-squared tests. in Recent Advances in Stochastic Modeling and Data Analysis. World Scientific Publishing Co., pp. 243-250. https://doi.org/10.1142/9789812709691_0030
    Voinov V, Nikulin M, Pya N. Independent x1 2: Distributed in the limit components of some chi-squared tests. In Recent Advances in Stochastic Modeling and Data Analysis. World Scientific Publishing Co. 2007. p. 243-250 https://doi.org/10.1142/9789812709691_0030
    Voinov, Vassilly ; Nikulin, Mikhail ; Pya, Natalie. / Independent x1 2 : Distributed in the limit components of some chi-squared tests. Recent Advances in Stochastic Modeling and Data Analysis. World Scientific Publishing Co., 2007. pp. 243-250
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