This project systematically studies the foundational principles governing infinite matrices and their diagonally dominant properties, progressing through a structured exploration of critical topics.

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Finkelstein's (1971) functional law of the iterated logarithm for empirical distributions is extended to cases where the empirical distribution is multiplied by a ...

Abstract: An improved estimator of certain bilinear forms of the logarithm of the covariance matrix is presented. The new estimator is shown to be consistent, not only for increasing sample size (as ...

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 32, No. 1 (Mar., 1970), pp. 41-52 (12 pages) The law of the iterated logarithm for a sequence of independent identically ...