From the 1 of 5 linked papers with an AI index.
5 papers
Regret-weighted Bayes Fusion for Distributed Experimental Design
Nagananda K G, Lav R. Varshney, Pramod R. Varshney
The paper proposes a regret-weighted Bayesian fusion rule for combining local experimental design recommendations in a distributed setting, aiming to minimize expected information…
A Laplace equation approach to the Behrens--Fisher problem
Nagananda K G, Jong Sung Kim
We develop a partial differential equation formulation of the Behrens-Fisher problem for two independent normal samples with unknown and unequal variances. An orthogonal decomposit…
Statistical two-round search for one excellent element
Nagananda K G, Jong Sung Kim
We formulate and study a statistical version of Katona's two-round search problem of finding at least one excellent element in a set. A population of elements is considered, wh…
A unified approach to the Behrens-Fisher problem
Nagananda K G, Jong Sung Kim
A unified framework is presented to study the two-sample Behrens--Fisher problem -- testing equality of means when two normal populations have unequal, unknown variances -- and a c…
Cassini-Catalan Determinants via Ramanujan's Theta Identity
Nagananda K G, Jong Sung Kim
In this paper, we show that the classical Cassini and Catalan identities for Fibonacci numbers arise naturally from a single quadratic theta-function identity of Ramanujan. Expandi…