New Formulas on Orthogonal Functionals of Stochastic Binary Sequence with Unequal Probability

Lan GAO; Junichi NAKAYAMA

New Formulas on Orthogonal Functionals of Stochastic Binary Sequence with Unequal Probability

Lan GAO, Junichi NAKAYAMA

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This paper deals with an orthogonal functional expansion of a non-linear stochastic functional of a stationary binary sequence taking 1 with unequal probability. Several mathematical formulas, such as multivariate orthogonal polynomials, recurrence formula and generating function, are given in explicit form. A formula of an orthogonal functional expansion for a stochastic functional is presented; the completeness of expansion is discussed in Appendix.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.2 pp.347-350

Publication Date: 1998/02/25

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Category: Nonlinear Problems

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Lan GAO, Junichi NAKAYAMA, "New Formulas on Orthogonal Functionals of Stochastic Binary Sequence with Unequal Probability" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 2, pp. 347-350, February 1998, doi: .
Abstract: This paper deals with an orthogonal functional expansion of a non-linear stochastic functional of a stationary binary sequence taking 1 with unequal probability. Several mathematical formulas, such as multivariate orthogonal polynomials, recurrence formula and generating function, are given in explicit form. A formula of an orthogonal functional expansion for a stochastic functional is presented; the completeness of expansion is discussed in Appendix.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_2_347/_p

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@ARTICLE{e81-a_2_347,
author={Lan GAO, Junichi NAKAYAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Formulas on Orthogonal Functionals of Stochastic Binary Sequence with Unequal Probability},
year={1998},
volume={E81-A},
number={2},
pages={347-350},
abstract={This paper deals with an orthogonal functional expansion of a non-linear stochastic functional of a stationary binary sequence taking 1 with unequal probability. Several mathematical formulas, such as multivariate orthogonal polynomials, recurrence formula and generating function, are given in explicit form. A formula of an orthogonal functional expansion for a stochastic functional is presented; the completeness of expansion is discussed in Appendix.},
keywords={},
doi={},
ISSN={},
month={February},}

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TY - JOUR
TI - New Formulas on Orthogonal Functionals of Stochastic Binary Sequence with Unequal Probability
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 347
EP - 350
AU - Lan GAO
AU - Junichi NAKAYAMA
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 1998
AB - This paper deals with an orthogonal functional expansion of a non-linear stochastic functional of a stationary binary sequence taking 1 with unequal probability. Several mathematical formulas, such as multivariate orthogonal polynomials, recurrence formula and generating function, are given in explicit form. A formula of an orthogonal functional expansion for a stochastic functional is presented; the completeness of expansion is discussed in Appendix.
ER -