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Sufficiency Pairwise Sufficiency And Bayes Sufficiency In Undominanted Experiments., R. V. Ramamoorthi Dr.
Sufficiency Pairwise Sufficiency And Bayes Sufficiency In Undominanted Experiments., R. V. Ramamoorthi Dr.
Doctoral Theses
An experiment or a statiatical structure consists of a set X and a family of probability measures P on , indexod by a set (. The set I together with a g-algebra of subsets of X is the sample space and the set (H ith a -algebra g of subsets of (D is the parameter space, To avoid trivialities ve consider only situations where the para- sotrization is one-one, i,e, if Ø1, and Ø2, are distinct then s0 are PØ1. and PØ2. Various notions of aufficiency of a -lgebra 3 is considered in statistical literature, Anong the se are the …
Estimation Of Spectral Variation., Rajendra Bhatia Dr.
Estimation Of Spectral Variation., Rajendra Bhatia Dr.
Doctoral Theses
The study of spectra occupies a central place in the theory of linear operators. One part of this study consists of obtaining a detailed and complete knowledge of the spectrum of a given lincar operator. The other part - perturbation theory - consists of using this knowledge to obtain information about the spectra of nearby operators.Apart from the intrinsic mathematical interest it has, perturbation theory is of great importance in the study of several physical problems. In fact, the theory came into existence with the work of Rayleigh on sound waves and that of Schrodinger on quantum mechanics. Later, their …