Results 51 to 60 of about 168,667 (308)
Sums of Powers of Independent Random Variables
The Annals of Mathematical Statistics, 1958 Let $(x_{nk}), k = 1, \cdots, k_n; n = 1, 2, \cdots$ be a double sequence of infinitesimal random variables which are rowwise independent (i.e., $\lim_{n\rightarrow\infty} \max_{1\leqq k \leqq k_n} P (| x_{nk} | > \epsilon) = 0$ for every $\epsilon > 0,$ and for each $n x_{n1}, \cdots, x_{nk_n}$ are independent). Let $S_n = x_{n1} + \cdots + x_{nk_n} -
openaire +2 more sources
Distribution of the sum of gamma mixture random variables [PDF]
Mixture distributions are extensively used to model data in practical analysis. Several researchers in various scientific fields have considered the gamma mixture distribution.
Hidetoshi Murakami +2 more
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On the rate of approximation in the random sum CLT for dependent variables [PDF]
, 1980 summary:Capital $"O"$ and lower-case $"o"$ approximations of the expected value of a class of smooth functions $(f\in C^r(R))$ of the normalized random partial sums of dependent random variables by the expectation of the corresponding functions of ...
Basu, Adhir Kumar, Basu, A.K.
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Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis
FEBS Letters, EarlyView.Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8‐epi‐Leg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMP‐Leg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee +7 more
wiley +1 more source
Asymptotic distributions of degenerated U-statistics
Statistical Theory and Related FieldsA degenerated U-statistic with rank 2 is known to converge in distribution to a weighted sum of independent chi-square random variables. However, a result for the asymptotic distribution of a degenerated U-statistic with rank higher than 2 is not ...
Jun Shao
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The discount version of large deviations for a randomly indexed sum of random variables
Lietuvos Matematikos Rinkinys, 2011 In this paper, we consider a compound random variable Z = \sum^N_{j=1} vjXj , where 0 < v < 1, Z = 0, if N = 0. It is assumed that independent identically distributed random variables X1,X2, . . .
Aurelija Kasparavičiūtė +1 more
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The exact density of the sum of independent skew normal random variables
, 2017 The exact distribution of the sum of independent and non-identical skew normal random variables is derived.
Nadarajah, Saraleesan; id_orcid, Li, Rui
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Saddlepoint approximations for the sum of independent non-identically distributed binomial random variables [PDF]
, 2013 Contains fulltext : 116657pre.pdf (Author’s version preprint ) (Open Access)We discuss saddlepoint approximations to the distribution of the sum of independent non-identically distributed binomial random variables.
Eisinga, R.N. +2 more
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
One sided strong laws for random variables with infinite mean
Open Mathematics, 2017 This paper establishes conditions that secure the almost sure upper and lower bounds for a particular normalized weighted sum of independent nonnegative random variables.
Adler André
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