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Another Look at Differentiability in Quadratic Mean

1997
This note revisits the delightfully subtle interconnections between three ideas: differentiability, in an S 2 sense, of the square-root of a probability density; local asymptotic normality; and contiguity.
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The quadratic mean

2004
Israel M. Gelfand, Alexander Shen
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Unbiased Estimator of Population Quadratic Mean

Objective of this article is to present an unbiased estimator of population quadratic mean of a population, based on random sample drawn from it, which have been developed in the underlying study. The presentation consists of the theoretical development of the estimator and numerical example of it.   
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Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations

SIAM Journal on Control and Optimization, 2013
Jiongmin Yong
exaly  

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