1 citations · 3 across the 9 of their papers we have counts for
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On Asymptotic Standard Normality of the Two Sample Pivot
Rajeshwari Majumdar, Suman Majumdar
The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning…
On Least Squares Linear Regression Without Second Moment
Rajeshwari Majumdar
If X and Y are real valued random variables such that the first moments of X, Y, and XY exist and the conditional expectation of Y given X is an affine function of X, then the inte…
On the Conditional Distribution of a Multivariate Normal given a Transformation - the Linear Case
Rajeshwari Majumdar, Suman Majumdar
We show that the orthogonal projection operator onto the range of the adjoint of a linear operator can be represented as where is an invertible linear operator. Using…
On Affine and Conjugate Nonparametric Regression
Rajeshwari Majumdar
Suppose the nonparametric regression function of a response variable on covariates and is an affine function of such that the slope and the intercept are re…
Conditional Independence, Conditional Mean Independence, and Zero Conditional Covariance
Rajeshwari Majumdar
Investigation of the reversibility of the directional hierarchy in the interdependency among the notions of conditional independence, conditional mean independence, and zero condit…
Necessary and Sufficient Condition for Asymptotic Standard Normality of the Two Sample Pivot
Rajeshwari Majumdar, Suman Majumdar
The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning…
On the regular conditional distribution of a multivariate Normal given a linear transformation
Rajeshwari Majumdar, Suman Majumdar
We show that the orthogonal projection operator onto the range of the adjoint of a linear operator T can be represented as UT, where U is an invertible linear operator. Using this…