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Probability and Statistics
[chapter]

1990
*
Handbook of Applied Mathematics
*

1

doi:10.1007/978-1-4684-1423-3_21
fatcat:pc4db77o3nfdzmssvb6du2r7wu
*General*goals of the course The course should provide*a*high level overview on*a*wide range of statistical methods, data analysis, parameter estimation,*test**theory*and on*stochastic**processes*. ... ., Adventures in*Stochastic**processes*, Birkhäuser, Basel 1992. [10] Ross, S.,*Stochastic**Processes*, John Wiley, New York 1996. [11] Schuss, Z.,*Theory*and Applications of*Stochastic**Processes*, an Analytical ...##
###
Frontmatter
[chapter]

1961
*
Contributions to Astronomy, Meteorology, and Physics
*

LAJOS TAKÁCS, The transient behavior of

doi:10.1525/9780520323438-fm
fatcat:vcigncvlenfrjls2tbc2hmfyz4
*a*single server queueing*process*with*a*Poisson input. K. URBANIK,*Generalized**stochastic**processes*with independent values. DAVID M. G. ... HER-MAN CHERNOFF, Sequential*tests**for*the mean of*a*normal*distribution*. Y. S. CHOW and HERBERT ROBBINS,*A*martingale system theorem and applications. D. R. ...##
###
Page 4448 of Mathematical Reviews Vol. , Issue 87h
[page]

1987
*
Mathematical Reviews
*

R. (6-KARN); Deshpande, Sunita K. (6-KARN)

*Testing**for*Markov*process*vs semi-Markov*process*. Comm. Statist.*A*—*Theory*Methods 15 (1986), no. 8, 2375-2382. ... Summary: “We obtain*a*nonparametric*test**for**testing*the null hypothesis Hp that the given realization is from*a*Markov*process*against the alternative hypothesis H, that it is from*a*semi-Markov*process*...##
###
An integrative framework for stochastic, size-structured community assembly

2009
*
Proceedings of the National Academy of Sciences of the United States of America
*

The second ingredient is Hubbell's Neutral Biodiversity

doi:10.1073/pnas.0813041106
pmid:19336583
pmcid:PMC2663776
fatcat:btkpywg6lnbbfewasa3nk5uw5i
*Theory*(1), which makes*general*predictions*for*the*distribution*of species abundances in*a*community, based on the effects of demographic*stochasticity*... the effects of demographic*stochasticity*relative to other forces, and to*generate**a*broader range of predictions more closely tied to*process*. ... The second ingredient is Hubbell's Neutral Biodiversity*Theory*(1), which makes*general*predictions*for*the*distribution*of species abundances in*a*community, based on the effects of demographic*stochasticity*...##
###
Page 6516 of Mathematical Reviews Vol. , Issue 87k
[page]

1987
*
Mathematical Reviews
*

In the

*distribution**theory*the fundamental concept is “the number of points in*a*set” and*a*realization of*a*point*process*is interpreted as*a*measure. ... This approach works*for*point*processes*in spaces as*general*as Polish spaces. ...##
###
Page 7244 of Mathematical Reviews Vol. , Issue 98K
[page]

1998
*
Mathematical Reviews
*

*A*long list of examples from the

*general*exponential family of

*stochastic*

*processes*is considered in detail, covering

*a*broad range of

*stochastic*

*process*models ranging from Markov chains with

*a*finite ...

*For*this purpose, the first part of the book is based only on classical

*theory*of

*stochastic*

*processes*, while tools from

*stochastic*calculus are used later in the book. ...

##
###
Page 4499 of Mathematical Reviews Vol. , Issue 93h
[page]

1993
*
Mathematical Reviews
*

*General*

*theory*. Comm. Statist.

*Stochastic*Models 8 (1992), no. 2, 193-219. ... The authors derive expressions

*for*the transition den- sities of the Markov

*processes*in

*general*in terms of the Laplace transform of the innovation

*distribution*. ...

##
###
Page 5216 of Mathematical Reviews Vol. , Issue 98H
[page]

1998
*
Mathematical Reviews
*

Summary: “This paper discusses an approximate score

*test**for**test*- ing randomness of environments in*a*branching*process*without observing the environments. ... V. (6-PNA-S; Pune)*A**test**for*randomness of the environments in*a*branching*process*. (English summary) Statist. Papers 38 (1997), no.4, 409-421. ...##
###
Page 954 of Mathematical Reviews Vol. 56, Issue 3
[page]

1978
*
Mathematical Reviews
*

Degerine,

*Tests*on the dispersion parameter in von Mises*distributions*(pp. 403-408); Michel Delecroix, Central limit theorems*for*density estimators of an L?-mixing*process*(pp. 408-414); C. ... Walk, An invariance principle in*stochastic*approximation (pp. 623-625); J. Demongeot,*A**stochastic*model*for*the regulation of cellular metabolism (pp. 655-662);*A*. ...##
###
On Surrogate Data Testing for Linearity based on the Periodogram
[article]

1995
*
arXiv
*
pre-print

The method of surrogate data is

arXiv:comp-gas/9509003v1
fatcat:ujugdfceb5b6tod3pd2frll3me
*a*tool to*test*whether data were*generated*by some class of model. ... Based on the*theory*of linear systems we suggest an alternative procedure to obtain the correct*distribution*of the*test*statistic and discuss problems of this approach. ... Acknowledgements: I like to thank*A*. Fraser*for*many clarifying discussions and J. Theiler*for*comments on an earlier version of this paper. ...##
###
Page 6368 of Mathematical Reviews Vol. , Issue 2004h
[page]

2004
*
Mathematical Reviews
*

*For*

*a*measure-valued

*stochastic*

*process*the so-called covaristic function is introduced as

*a*kind of

*generalization*of the character- istic function of the finite-dimensional

*distributions*. ... *4 »-/2(1 + o(1)).

*a*B\=1

*A*simple procedure

*for*finding the critical level of the size €

*test*as n — oo is constructed. ...

##
###
Page 115 of The Annals of Mathematical Statistics Vol. 22, Issue 1
[page]

1951
*
The Annals of Mathematical Statistics
*

In this paper, we do not use the

*distribution*of*a*serial correlation coefficient itself, but normal regression*theory*, and will give the*general**testing*method*for*an autoregressive*stochastic**process*...*a*simple Markov*process**for*the inversely directed time scale. ...##
###
Page 2760 of Mathematical Reviews Vol. , Issue 81G
[page]

1981
*
Mathematical Reviews
*

M.]} 81g:6214 | Probabilities of errors in

*testing*similar hypotheses*for*diffusion —*processes*. (Russian)*Theory*of random*processes*, No. 7 (Russian), pp. 62-71, 131, | “Naukova Dumka’, Kiev, 1979. ... The paper concludes with | an outline of*a**general*class of “regular nonergodic*stochastic**process*” models*for*which similar concepts are meaningful. ...##
###
Page 5096 of Mathematical Reviews Vol. , Issue 87i
[page]

1987
*
Mathematical Reviews
*

87i:60002

*processes*. The author’s aim is not always the greatest possi- ble*generality*; sometimes the*theory*is explained by means of examples. The exposition is*generally*clear and well organized. ... {The papers are being reviewed individually. } PROBABILITY*THEORY*AND*STOCHASTIC**PROCESSES** Proceedings of the seventh conference on 5096 87i:60005 probability*theory*. ...##
###
Page 1395 of Mathematical Reviews Vol. 57, Issue 4
[page]

1979
*
Mathematical Reviews
*

and Elzbieta Hys, On

*a*class of bi- and multivariate*distributions**generated*by marginal Weibull*distributions*(pp. 73-81); Vincenzo Capasso, On the*general**stochastic*epidemic with immigration in large ... Gani,*A*Markov chain*for*type counts in vocabulary subgroups (pp. 155-162); Peter Ganssler, On the realization of Probability*Theory*and*Stochastic**Processes*57 #10751 60*stochastic**processes*by probability ...
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