In sample survey, estimation of different finite population parameters like, mean, median, variance, coefficient of variation, correlation and regression coefficients, interquartile range, measure of skewness, etc. was ...

In the classification programme of subfactors, the standard invariant plays a quintessential role. In this thesis, we furnish a 2-categorical perspective of the standard invariant of finite-index subfactors and further ...

My thesis deals with various homogeneous spaces associated with the real and complex Stiefel manifolds and their homotopical computations. Primarily we work with the complex projective Stiefel manifolds. We compute their ...

This thesis consists of three independent essays. The first chapter introduces a model of decision-making that is based on the procedure of rejection. Departing from the standard model of choice via preference maximization, ...

In 1971, Professor Leon Chua introduced the notion of a memristor, the fourth fundamental passive circuit component alongside resistor, capacitor, and inductor. The resistance of this two-terminal device depends on the ...

Over the past few years, multi-view data analysis has emerged as an inevitable method for identifying sample categories. In multi-view data classification problem, it is expected that the joint subspace is learned from ...

In this thesis, we focus on studying MDS and Near-MDS (NMDS) matrices and explore their construction in both recursive and nonrecursive settings. We present several theoretical results and analyze the hardware efficiency ...

The thesis focuses on exploring the message complexity of some fundamental problems – leader election, agreement, and graph realization. Leader Election and Agreement problems are widely applicable in various domains ...

Boolean functions are important in both theoretical computer science and cryptography. Over the past few decades, significant advancements have been made in this area. The Walsh transform, a variant of the Fourier transform ...

There has been growing interest in millimeter-wave (mmWave) communication due to the promising high speeds and immense amounts of unused bandwidth available. However, mmWaves suffer from unusually high attenuation, ...