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Bivariate Normal Distribution

The Experts below are selected from a list of 243 Experts worldwide ranked by ideXlab platform

Bengt Muthen – 1st expert on this subject based on the ideXlab platform

  • moments of the censored and truncated Bivariate Normal Distribution
    British Journal of Mathematical and Statistical Psychology, 1990
    Co-Authors: Bengt Muthen

    Abstract:

    Published results on the moments of censored and truncated Bivariate Normal Distributions do not include explicit formulas for all combinations of limits in a form that is readily adapted for computation. Moments for truncation and censoring that can take place both from above and below in both variables are given in a general form from which special cases are easily obtained. The attenuation of the correlation coefficients is studied in a series of graphs and related to examples of factor analysis.

Shiny Mathew – 2nd expert on this subject based on the ideXlab platform

  • inference on p x y p x y for Bivariate Normal Distribution based on ranked set sample
    METRON, 2019
    Co-Authors: Manoj Chacko, Shiny Mathew

    Abstract:

    In this paper, we consider the problem of estimation of $$R=P(XBivariate ranked set sampling. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of R are obtained based on ranked set sample when (X,Y) follows Bivariate Normal Distribution. BEs are obtained based on both symmetric and asymmetric loss functions. The percentile bootstrap and HPD confidence intervals for R are also obtained. Simulation studies are carried out to find the accuracy of the proposed estimators. A real data is also used to illustrate the inferential procedures developed in this paper.

Manoj Chacko – 3rd expert on this subject based on the ideXlab platform

  • inference on p x y p x y for Bivariate Normal Distribution based on ranked set sample
    METRON, 2019
    Co-Authors: Manoj Chacko, Shiny Mathew

    Abstract:

    In this paper, we consider the problem of estimation of $$R=P(XBivariate ranked set sampling. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of R are obtained based on ranked set sample when (X,Y) follows Bivariate Normal Distribution. BEs are obtained based on both symmetric and asymmetric loss functions. The percentile bootstrap and HPD confidence intervals for R are also obtained. Simulation studies are carried out to find the accuracy of the proposed estimators. A real data is also used to illustrate the inferential procedures developed in this paper.

  • estimation of parameters of Bivariate Normal Distribution using concomitants of record values
    Statistical Papers, 2007
    Co-Authors: Manoj Chacko, Yageen P Thomas

    Abstract:

    In this paper, we discuss the concomitants of record values arising from the well-known Bivariate Normal Distribution BVND(µ1, µ2,σ1,σ2, ρ). We have obtained the best linear unbiased estimators of µ2 and σ2 when ρ is known and derived some unbiased linear estimators of ρ when µ2 and σ2 are known, based on the concomitants of first n record values. The variances of these estimators have been obtained.