Communications in Statistics - Theory and Methods, 1976
Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(... more Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(n) = max Xi and Y(n) = max Yi. This article gives a necessary and sufficient condition for the weak convergence of the distribution function of (X(n), Y(n)) to a nondegenerate distribution.
Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ an... more Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ and $\sigma^2_2$ respectively. Also let $S^2_1$ and $S^2_2$ be two independent estimators of $\sigma^2_1$ and $\sigma^2_2$ such that $mS^2_1\sigma^{-2}_1$ and $nS^2_2\sigma^{-2}_2$ are chi-squares with $m$ and $n$ degrees of freedom respectively. The Graybill-Deal estimator of $\mu$ is $\hat{\mu} = (S^{-2}_1x + S^{-2}_2y)/(S^{-2}_1 + S^{-2}_2)$. In
Vitter has given a fast algorithm for drawing and ordered sequential random sample of n records f... more Vitter has given a fast algorithm for drawing and ordered sequential random sample of n records from a file with N records. This paper proposes a modification to that algorithm to make it faster. This is achieved by simple mathematical techniques
Concept of god is examined from a layman's point of view. Theists claim existence of god, atheist... more Concept of god is examined from a layman's point of view. Theists claim existence of god, atheists deny that claim, and agnostics still debate. This paper does not attempt a solution, but asks questions as a layman would.
Communications in Statistics-theory and Methods, 1976
Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(... more Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(n) = max Xi and Y(n) = max Yi. This article gives a necessary and sufficient condition for the weak convergence of the distribution function of (X(n), Y(n)) to a nondegenerate distribution.
Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ an... more Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ and $\sigma^2_2$ respectively. Also let $S^2_1$ and $S^2_2$ be two independent estimators of $\sigma^2_1$ and $\sigma^2_2$ such that $mS^2_1\sigma^{-2}_1$ and $nS^2_2\sigma^{-2}_2$ are chi-squares with $m$ and $n$ degrees of freedom respectively. The Graybill-Deal estimator of $\mu$ is $\hat{\mu} = (S^{-2}_1x + S^{-2}_2y)/(S^{-2}_1 + S^{-2}_2)$. In
Communications in Statistics - Theory and Methods, 1976
Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(... more Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(n) = max Xi and Y(n) = max Yi. This article gives a necessary and sufficient condition for the weak convergence of the distribution function of (X(n), Y(n)) to a nondegenerate distribution.
Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ an... more Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ and $\sigma^2_2$ respectively. Also let $S^2_1$ and $S^2_2$ be two independent estimators of $\sigma^2_1$ and $\sigma^2_2$ such that $mS^2_1\sigma^{-2}_1$ and $nS^2_2\sigma^{-2}_2$ are chi-squares with $m$ and $n$ degrees of freedom respectively. The Graybill-Deal estimator of $\mu$ is $\hat{\mu} = (S^{-2}_1x + S^{-2}_2y)/(S^{-2}_1 + S^{-2}_2)$. In
Vitter has given a fast algorithm for drawing and ordered sequential random sample of n records f... more Vitter has given a fast algorithm for drawing and ordered sequential random sample of n records from a file with N records. This paper proposes a modification to that algorithm to make it faster. This is achieved by simple mathematical techniques
Concept of god is examined from a layman's point of view. Theists claim existence of god, atheist... more Concept of god is examined from a layman's point of view. Theists claim existence of god, atheists deny that claim, and agnostics still debate. This paper does not attempt a solution, but asks questions as a layman would.
Communications in Statistics-theory and Methods, 1976
Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(... more Let (Xi, Yi), i = 1, 2,…, n, be n independent observations from a bivariate population and let X(n) = max Xi and Y(n) = max Yi. This article gives a necessary and sufficient condition for the weak convergence of the distribution function of (X(n), Y(n)) to a nondegenerate distribution.
Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ an... more Let $x$ and $y$ be two independent normal variables with mean $\mu$ and variances $\sigma^2_1$ and $\sigma^2_2$ respectively. Also let $S^2_1$ and $S^2_2$ be two independent estimators of $\sigma^2_1$ and $\sigma^2_2$ such that $mS^2_1\sigma^{-2}_1$ and $nS^2_2\sigma^{-2}_2$ are chi-squares with $m$ and $n$ degrees of freedom respectively. The Graybill-Deal estimator of $\mu$ is $\hat{\mu} = (S^{-2}_1x + S^{-2}_2y)/(S^{-2}_1 + S^{-2}_2)$. In
Uploads
Papers by Aiyappan Nair