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G-77: Central Limit Theorem and Law of Large Numbers for Generalized Series 
In the generalized Central Limit Theorem, a result similar to The Central Limit Theorem is established for the case of a double sequence and n-dimensional vector valued functions.
A statistical convergence result in [1] can be viewed as the generalization of the Central Limit Theorem.
Abstract
Since the Central Limit Theorem (CLT) is one of the most important results in Probability Theory, its generalization to higher dimensions is important for mathematical statistics, stochastic process theory and for multivariate analysis. This paper develops a generalized Central Limit Theorem (GCLT) and an error bound for the case of a double sequence and n-dimensional vector valued functions.
Keywords
GCLT, law of large numbers, Central limit theorem, law of large numbers
References
Category:Probability theorems
Category:Statistical theoremsExpression and characterization of the human vitamin D receptor in yeast.
A functional cDNA for the human vitamin D receptor (hVDR) was inserted into the expression vector pAG425GPD and expressed in the yeast Saccharomyces cerevisiae. The hVDR cDNA was modified by deleting the entire first ligand binding domain, including the putative hinge region, the hinge region was then replaced by a linker sequence and the second ligand binding domain was inserted in-frame. The recombinant receptor protein was overproduced at a high level (over 2000 microg/L culture) and secreted into the growth medium. Purification of the receptor was achieved by affinity chromatography with a lectin-binding domain attached to a solid support. Using a recombinant hVDR, the hVDR cDNA and an oligonucleotide probe from the second ligand binding domain, a DNA probe hybridizing to the second ligand binding domain of the hVDR was prepared. The DNA probe was used to screen a genomic library of human cDNA, which resulted in the isolation of three overlapping cDNA clones. Sequence analysis revealed that the second ligand binding domain was inserted in-frame between the yeast alpha-mating factor secretion signal sequence and the GPDp sequence. The hVDR c 82fe58eafd
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