• Title/Summary/Keyword: Family of distributions

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Taxonomic Revision of the Scorpionfishes (Pisces: Scorpaenidae) with four New Records from Korea (한국산 양볼낙과 어류의 분류 및 4 미기록종)

  • Kim, Ik-Soo;Lee, Wan-Ok
    • The Korean Journal of Zoology
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    • v.36 no.4
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    • pp.452-475
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    • 1993
  • The taxonomic revision of the family Scorpaenidae was conducted based on the specimens collected from the coasts of the Korean Peninsula from 1989 to 1992. The scorpionfishes of Korea are composed of 30 species in 8 genera, and the keys to species and genera are provided with svnonvms and their distributions. Four species newly reported from Korea are redescribed and figured: Sebastiscus tenius (Barsukov et Chen), Sebastes steindachneri Hilgendorf, S. minor Barsukov and S. zonatus Chen et Barsukov. It is noted that the genus Sebastes comprise 18 species in Korean waters without endemics. Most species of the Korean scorrionfishes are shared with Japanese and Taiwanese faunas including temperate and tropical scorpionfishes. Most Sebastes species are recognized as temperate elements but other genera of this family are regarded as tropical elements.

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Fisher Information and the Kullback-Leibler Distance in Concomitants of Generalized Order Statistics Under Iterated FGM family

  • Barakat, Haroon Mohammed;Husseiny, Islam Abdullah
    • Kyungpook Mathematical Journal
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    • v.62 no.2
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    • pp.389-405
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    • 2022
  • We study the Fisher Information (FI) of m-generalized order statistics (m-GOSs) and their concomitants about the shape-parameter vector of the Iterated Farlie-Gumbel-Morgenstern (IFGM) bivariate distribution. We carry out a computational study and show how the FI matrix (FIM) helps in finding information contained in singly or multiply censored bivariate samples from the IFGM. We also run numerical computations about the FIM for the sub-models of order statistics (OSs) and sequential order statistics (SOSs). We evaluate FI about the mean and the shape-parameter of exponential and power distributions, respectively. Finally, we investigate the Kullback-Leibler distance in concomitants of m-GOSs.

On the Bayes risk of a sequential design for estimating a mean difference

  • Sangbeak Ye;Kamel Rekab
    • Communications for Statistical Applications and Methods
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    • v.31 no.4
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    • pp.427-440
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    • 2024
  • The problem addressed is that of sequentially estimating the difference between the means of two populations with respect to the squared error loss, where each population distribution is a member of the one-parameter exponential family. A Bayesian approach is adopted in which the population means are estimated by the posterior means at each stage of the sampling process and the prior distributions are not specified but have twice continuously differentiable density functions. The main result determines an asymptotic second-order lower bound, as t → ∞, for the Bayes risk of a sequential procedure that takes M observations from the first population and t - M from the second population, where M is determined according to a sequential design, and t denotes the total number of observations sampled from both populations.

Dependent F Ratios Sharing a Common Cenominator in ANOVA Table

  • Kang, Phillee
    • Journal of the Korean Statistical Society
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    • v.24 no.1
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    • pp.111-125
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    • 1995
  • Let $F_1$ and $F_2$ be two F ratios with independent numerators and a common denominator. They are known to be positively dependent. The probabilities of simultaneous rejection and conditional rejection are numerically computed for both null and nonnull cases. The probabilities are presented in tables and graphics to show the influence of the seven parameters, the degrees of freedom of the numerators and the denominator, the non-centralities of the numerators, and the two levels of significance of the tests. The values of the correlation coefficient between $F_1$ and $F_2$ are also presented. Finally, a conjecture on the dependence order of the family of distributions of $(F_1, F_2)$ is given.

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Needs for Shared Community Spaces Among Apartment Housing Residents in Kwangju City (아파트단지의 외부 공동공간에 대한 요구도)

  • 김미희;손승광;문희정
    • Journal of the Korean housing association
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    • v.11 no.1
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    • pp.115-124
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    • 2000
  • The purpose of this research is to examine residents' needs for shared community spaces and to explore the relationships between these needs and characteristics of consumers such as age and employment status of the homemakers, family life cycle stage, occupation of the primary income provider, housing size, and homeownership. Statistical data were compiled to determine frequencies and percentage distributions, and subjected to General Linear Model and Duncan-test analysis.Most residents wanted to utilize the basements of their complexes for storage space. Further interest was shown for shared community spaces that would be run by residents themselves, such as vegetable gardens, indoor playgrounds for children, senior citizen's activity rooms, walking paths, study rooms, and lounges. Female residents under 45 years old were likely to express needs for storage spaces for bicycle, and multipurpose rooms for meetings and family events. Female residents with jobs were more likely to desire shared community spaces than full-time females residents were. These findings imply the need for consideration of diverse plans rather than uniform ones. This results can be usefully applied to develop new apartment housing for different social class residents.

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CHARACTERIZATIONS OF SOME POLYNOMIAL VARIANCE FUNCTIONS BY d-PSEUDO-ORTHOGONALITY

  • KOKONENDJI CELESTIN C.
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.427-438
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    • 2005
  • From a notion of d-pseudo-orthogonality for a sequence of poly-nomials ($d\;\in\;{2,3,\cdots}$), this paper introduces three different characterizations of natural exponential families (NEF's) with polynomial variance functions of exact degree 2d-1. These results provide extended versions of the Meixner (1934), Shanbhag (1972, 1979) and Feinsilver (1986) characterization results of quadratic NEF's based on classical orthogonal polynomials. Some news sets of polynomials with (2d-1)-term recurrence relation are then pointed out and we completely illustrate the cases associated to the families of positive stable distributions.

SOME GENERALIZED GAMMA DISTRIBUTION

  • Nadarajah Saralees;Gupta Arjun K.
    • Journal of the Korean Statistical Society
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    • v.36 no.1
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    • pp.93-109
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    • 2007
  • Gamma distributions are some of the most popular models for hydrological processes. In this paper, a very flexible family which contains the gamma distribution as a particular case is introduced. Evidence of flexibility is shown by examining the shape of its pdf and the associated hazard rate function. A comprehensive treatment of the mathematical properties is provided by deriving expressions for the nth moment, moment generating function, characteristic function, Renyi entropy and the asymptotic distribution of the extreme order statistics. Estimation and simulation issues are also considered. Finally, a detailed application to drought data from the State of Nebraska is illustrated.

ON RELATIONS FOR QUOTIENT MOMENTS OF THE GENERALIZED PARETO DISTRIBUTION BASED ON RECORD VALUES AND A CHARACTERIZATION

  • Kumar, Devendra
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.327-336
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    • 2013
  • Generalized Pareto distributions play an important role in re-liability, extreme value theory, and other branches of applied probability and statistics. This family of distribution includes exponential distribution, Pareto distribution, and Power distribution. In this paper we establish some recurrences relations satisfied by the quotient moments of the upper record values from the generalized Pareto distribution. Further a char-acterization of this distribution based on recurrence relations of quotient moments of record values is presented.

ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF RECORD VALUES

  • JIN, HYUN-WOO;LEE, MIN-YOUNG
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.651-657
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    • 2017
  • A sequence {$X_n,\;n{\geq}1$} of independent and identically distributed random variables with absolutely continuous (with respect to Lebesque measure) cumulative distribution function F(x) is considered. We obtain two characterizations of a family of continuous probability distribution by independence property of record values.