Search Results - "WICHURA, M. J"

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  1. 1

    A Note on the Convergence of Series of Stochastic Processes by Wichura, M. J.

    Published in The Annals of probability (01-02-1973)
    “…A tightness condition for families of Gaussian processes with continuous paths is given and applied to the question of convergence of sums of independent…”
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    Journal Article
  2. 2

    Convergence Criteria for Multiparameter Stochastic Processes and Some Applications by Bickel, P. J., Wichura, M. J.

    Published in The Annals of mathematical statistics (01-10-1971)
    “…Chentsov-Billingsley type fluctuation inequalities for stochastic processes whose time parameter ranges over the q-dimensional unit cube are derived and used…”
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    Some Strassen-Type Laws of the Iterated Logarithm for Multiparameter Stochastic Processes with Independent Increments by Wichura, Michael J.

    Published in The Annals of probability (01-04-1973)
    “…For processes with independent increments and multi-dimensional time parameters, analogues of Strassen's version of the law of the iterated logarithm are…”
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  8. 8

    On the Functional Form of the Law of the Iterated Logarithm for the Partial Maxima of Independent Identically Distributed Random Variables by Wichura, Michael J.

    Published in The Annals of probability (01-04-1974)
    “…Let $k$ be a positive integer, let $X, X_1, X_2, \cdots$ be i.i.d. random variables, and let $m_n^{(k)}$ be the $k$th largest of $X_1, \cdots, X_n$. Let…”
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    Journal Article
  9. 9

    Boundary Crossing Probabilities Associated with Motoo's Law of the Iterated Logarithm by Wichura, Michael J.

    Published in The Annals of probability (01-06-1973)
    “…For certain recurrent diffusion processes, Motoo has given an integral test which allows one to determine whether an increasing function belongs to the upper…”
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  10. 10

    Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters by Wichura, Michael J.

    Published in The Annals of mathematical statistics (01-04-1969)
    “…Bounds on the distribution of the maximum of the absolute values of the "partial sums" constructed from a multi-dimensional array of independent random…”
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