On martingales invoked by stochastic exponential and monomial densities
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| 024 | 7 | 0 | |a 10.1515/1569397042722382 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569397042722382 | ||
| 245 | 0 | 0 | |a On martingales invoked by stochastic exponential and monomial densities |h [Elektronische Daten] |c [Nassar H.S. Haidar, Adnan M. Hamzeh, Soumaya M. Hamzeh, Edward El-Nakat] |
| 520 | 3 | |a This is an extension of a previous work of the first author [1], on monomial density functions, to study the approximation features over [a, b] of, the based on αx exponential density functions hα (x) when α > 0 is discrete and/or fractional. If α is discrete, a random variable of hn (x) is proved to form a martingale over a reversed filtration and is compared with a similar situation that happens to hold with respective monomial density functions. In the case of fractional α, we advance a new stochastic operator which generates, via a nonlinear technique, unique exponential and monomial spline approximants over [a, b] to functions (x) ∈ , a certain noncommutative inner product space. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 690 | 7 | |a Monomials |2 nationallicence | |
| 690 | 7 | |a density functions |2 nationallicence | |
| 690 | 7 | |a entropy |2 nationallicence | |
| 690 | 7 | |a expectations |2 nationallicence | |
| 690 | 7 | |a generalized moments |2 nationallicence | |
| 690 | 7 | |a weak stationarity |2 nationallicence | |
| 700 | 1 | |a Haidar |D Nassar H.S. |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | |
| 700 | 1 | |a Hamzeh |D Adnan M. |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | |
| 700 | 1 | |a Hamzeh |D Soumaya M. |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | |
| 700 | 1 | |a El-Nakat |D Edward |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | |
| 773 | 0 | |t Random Operators and Stochastic Equations |d Walter de Gruyter |g 12/4(2004-12-01), 349-360 |x 0926-6364 |q 12:4<349 |1 2004 |2 12 |o rose | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569397042722382 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569397042722382 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Haidar |D Nassar H.S. |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hamzeh |D Adnan M. |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hamzeh |D Soumaya M. |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a El-Nakat |D Edward |u Center for Research in Applied Mathematics and Statistics (CRAMS), Department of Basic Sciences, Business and Computer University College (BCU), Beirut, Lebanon |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Random Operators and Stochastic Equations |d Walter de Gruyter |g 12/4(2004-12-01), 349-360 |x 0926-6364 |q 12:4<349 |1 2004 |2 12 |o rose | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||