• Title/Summary/Keyword: Statistical properties

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SOME PROPERTIES OF BIVARIATE GENERALIZED HYPERGEOMETRIC PROBABILITY DISTRIBUTIONS

  • Kumar, C. Satheesh
    • Journal of the Korean Statistical Society
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    • v.36 no.3
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    • pp.349-355
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    • 2007
  • In this paper we study some important properties of the bivariate generalized hypergeometric probability (BGHP) distribution by establishing the existence of all the moments of the distribution and by deriving recurrence relations for raw moments. It is shown that certain mixtures of BGHP distributions are again BGHP distributions and a limiting case of the distribution is considered.

Some Asymptotic Properties of Conditional Covariance in the Item Response Theory

  • Kim, Hae-Rim
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.959-966
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    • 2000
  • A dimensionality assessment procedure DETECT uses the property of being near zero of conditional covariances as an indication of unidimensionality .This study provides the convergent properties to zero of conditional covariances when the dta is unidimensional, with which DETECT extends its theoretical grounds.

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SOME GENERALIZATIONS OF LOGISTIC DISTRIBUTION AND THEIR PROPERTIES

  • Mathew, Thomas;Jayakumar, K.
    • Journal of the Korean Statistical Society
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    • v.36 no.1
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    • pp.111-127
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    • 2007
  • The logistic distribution is generalized using the Marshall-Olkin scheme and its generalization. Some properties are studied. First order autoregressive time series model with Marshall-Olkin semi-logistic distribution as marginal is developed and studied.

A Note on Almost Sure Properties of Exchangeable Random Variables

  • Dug Hun Hong;Sungho Lee
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.859-862
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    • 1997
  • In this paper a general result on almost sure properties is proved for a sequence of exchangeable random variables. Some known results follow from the theorem as special cases.

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CHARACTERIZATIONS ON GEODESIC GCR-LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER STATISTICAL MANIFOLD

  • Rani, Vandana;Kaur, Jasleen
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.432-446
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    • 2022
  • This article introduces the structure of GCR-lightlike submanifolds of an indefinite Kaehler statistical manifold and derives their geometric properties. The characterizations on totally geodesic, mixed geodesic, D-geodesic and D'-geodesic GCR-lightlike submanifolds have also been obtained.

DEFERRED INVARIANT STATISTICAL CONVERGENCE OF ORDER 𝜂 FOR SET SEQUENCES

  • Gulle, Esra
    • Honam Mathematical Journal
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    • v.44 no.1
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    • pp.110-120
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    • 2022
  • In this paper, we introduce the concepts of Wijsman invariant statistical, Wijsman deferred invariant statistical and Wijsman strongly deferred invariant convergence of order 𝜂 (0 < 𝜂 ≤ 1) for set sequences. Also, we investigate some properties of these concepts and some relationships between them.

g-METRIC SPACES AND ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENT SEQUENCES

  • Saime Kolanci;Mehmet Gurdal;Omer Kisi
    • Honam Mathematical Journal
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    • v.45 no.3
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    • pp.503-512
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    • 2023
  • In the present article, we introduce the concepts of strongly asymptotically lacunary equivalence, asymptotically statistical equivalence, and asymptotically lacunary statistical equivalence for sequences in g-metric spaces. We investigate some properties and relationships among these new concepts.

Statistical Efficiency of VSSI $\bar{X}$ Control Charts for the Process with Two Assignable Causes (두 개의 이상원인이 존재하는 공정에 대한 VSSI $\bar{X}$ 관리도의 통계적 효율성)

  • Lee Ho-Jung;Lim Tae-Jin
    • Journal of Korean Society for Quality Management
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    • v.32 no.4
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    • pp.156-168
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    • 2004
  • This research investigates the statistical efficiency of variable sampling size & sampling interval(VSSI) $\bar{X}$ charts under two assignable causes. Algorithms for calculating the average run length(ARL) and average time to signal(ATS) of the VSSI $\bar{X}$ chart are proposed by employing Markov chain method. States of the process are defined according to the process characteristics after the occurrence of an assignable cause. Transition probabilities are carefully derived from the state definition. Statistical properties of the proposed chart are also investigated. A simple procedure for designing the proposed chart is presented based on the properties. Extensive sensitivity analyses show that the VSSI $\bar{X}$ chart is superior to the VSS or VSI $\bar{X}$ chart as well as to the Shewhart $\bar{X}$ chart in statistical sense, even tinder two assignable causes.