Weak approximation of the Wiener process from a Poisson process: The multidimensional parameter set case

Xavier Bardina; Maria Jolis; Carles Rovira

Weak approximation of the Wiener process from a Poisson process: The multidimensional parameter set case

Xavier Bardina, Maria Jolis, Carles Rovira

Departament de Matemàtiques

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Resum

We give an approximation in law of the d-parameter Wiener process by processes constructed from a Poisson process with parameter in Rd. This approximation is an extension of previous results of Stroock (1982, Topics in Stochastic Differential Equations, Springer, Berlin) and Bardina and Jolis (2000, Bernoulli 4 (6)). © 2000 Elsevier Science B.V.

Idioma original	Anglès
Pàgines (de-a)	245-255
Revista	Statistics and Probability Letters
Volum	50
Número	3
Estat de la publicació	Publicada - 15 de nov. 2000

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title = "Weak approximation of the Wiener process from a Poisson process: The multidimensional parameter set case",

abstract = "We give an approximation in law of the d-parameter Wiener process by processes constructed from a Poisson process with parameter in Rd. This approximation is an extension of previous results of Stroock (1982, Topics in Stochastic Differential Equations, Springer, Berlin) and Bardina and Jolis (2000, Bernoulli 4 (6)). {\textcopyright} 2000 Elsevier Science B.V.",

keywords = "Poisson process, Weak convergence, d -parameter Wiener process",

author = "Xavier Bardina and Maria Jolis and Carles Rovira",

year = "2000",

month = nov,

day = "15",

language = "English",

volume = "50",

pages = "245--255",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

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TY - JOUR

T1 - Weak approximation of the Wiener process from a Poisson process: The multidimensional parameter set case

AU - Bardina, Xavier

AU - Jolis, Maria

AU - Rovira, Carles

PY - 2000/11/15

Y1 - 2000/11/15

N2 - We give an approximation in law of the d-parameter Wiener process by processes constructed from a Poisson process with parameter in Rd. This approximation is an extension of previous results of Stroock (1982, Topics in Stochastic Differential Equations, Springer, Berlin) and Bardina and Jolis (2000, Bernoulli 4 (6)). © 2000 Elsevier Science B.V.

AB - We give an approximation in law of the d-parameter Wiener process by processes constructed from a Poisson process with parameter in Rd. This approximation is an extension of previous results of Stroock (1982, Topics in Stochastic Differential Equations, Springer, Berlin) and Bardina and Jolis (2000, Bernoulli 4 (6)). © 2000 Elsevier Science B.V.

KW - Poisson process

KW - Weak convergence

KW - d -parameter Wiener process

M3 - Article

SN - 0167-7152

VL - 50

SP - 245

EP - 255

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 3

ER -

Weak approximation of the Wiener process from a Poisson process: The multidimensional parameter set case

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