Matches in SemOpenAlex for { <https://semopenalex.org/work/W2772059189> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2772059189 endingPage "155" @default.
- W2772059189 startingPage "142" @default.
- W2772059189 abstract "This paper deals with the extension, in the mean square sense, of the deterministic gamma function to the random framework. In a first step, we provide such extension to Γ ( A ) by assuming that the parameter A is a positive random variable satisfying certain conditions related to its exponential moments. As a particular case, we show that every positive random variable satisfies such conditions if it is bounded and bounded away from zero. In a second step, we establish the formula Γ ( A + 1 ) = A Γ ( A ) that allows us to extend the random gamma function to a class of random variables whose supports lie over the real line with the exception of small neighborhoods of zero and of the negative integers. This retains the classical definition of the gamma function when A becomes a deterministic parameter. The study is based on the L p stochastic calculus with p = 2 and 4, usually referred to as mean square and mean fourth stochastic calculus, respectively. Next, we compute the mean and the variance of the random gamma function, including several illustrative examples. Finally, with the aid of the random gamma function, we define the random Bessel function and compute reliable approximations of its mean and variance." @default.
- W2772059189 created "2017-12-22" @default.
- W2772059189 creator A5001284929 @default.
- W2772059189 creator A5009864461 @default.
- W2772059189 creator A5048514672 @default.
- W2772059189 creator A5083229284 @default.
- W2772059189 date "2018-06-01" @default.
- W2772059189 modified "2023-09-24" @default.
- W2772059189 title "On the random gamma function: Theory and computing" @default.
- W2772059189 cites W1988169074 @default.
- W2772059189 cites W1998080667 @default.
- W2772059189 cites W1998788608 @default.
- W2772059189 cites W2095176577 @default.
- W2772059189 cites W2328274780 @default.
- W2772059189 doi "https://doi.org/10.1016/j.cam.2017.11.045" @default.
- W2772059189 hasPublicationYear "2018" @default.
- W2772059189 type Work @default.
- W2772059189 sameAs 2772059189 @default.
- W2772059189 citedByCount "9" @default.
- W2772059189 countsByYear W27720591892019 @default.
- W2772059189 countsByYear W27720591892020 @default.
- W2772059189 countsByYear W27720591892021 @default.
- W2772059189 countsByYear W27720591892022 @default.
- W2772059189 crossrefType "journal-article" @default.
- W2772059189 hasAuthorship W2772059189A5001284929 @default.
- W2772059189 hasAuthorship W2772059189A5009864461 @default.
- W2772059189 hasAuthorship W2772059189A5048514672 @default.
- W2772059189 hasAuthorship W2772059189A5083229284 @default.
- W2772059189 hasBestOaLocation W27720591892 @default.
- W2772059189 hasConcept C101796028 @default.
- W2772059189 hasConcept C105795698 @default.
- W2772059189 hasConcept C107706756 @default.
- W2772059189 hasConcept C118615104 @default.
- W2772059189 hasConcept C122123141 @default.
- W2772059189 hasConcept C134306372 @default.
- W2772059189 hasConcept C13929819 @default.
- W2772059189 hasConcept C14036430 @default.
- W2772059189 hasConcept C17964538 @default.
- W2772059189 hasConcept C199343813 @default.
- W2772059189 hasConcept C199360897 @default.
- W2772059189 hasConcept C2777686260 @default.
- W2772059189 hasConcept C2778029271 @default.
- W2772059189 hasConcept C28826006 @default.
- W2772059189 hasConcept C33923547 @default.
- W2772059189 hasConcept C34388435 @default.
- W2772059189 hasConcept C41008148 @default.
- W2772059189 hasConcept C71924100 @default.
- W2772059189 hasConcept C78458016 @default.
- W2772059189 hasConcept C82240120 @default.
- W2772059189 hasConcept C86803240 @default.
- W2772059189 hasConceptScore W2772059189C101796028 @default.
- W2772059189 hasConceptScore W2772059189C105795698 @default.
- W2772059189 hasConceptScore W2772059189C107706756 @default.
- W2772059189 hasConceptScore W2772059189C118615104 @default.
- W2772059189 hasConceptScore W2772059189C122123141 @default.
- W2772059189 hasConceptScore W2772059189C134306372 @default.
- W2772059189 hasConceptScore W2772059189C13929819 @default.
- W2772059189 hasConceptScore W2772059189C14036430 @default.
- W2772059189 hasConceptScore W2772059189C17964538 @default.
- W2772059189 hasConceptScore W2772059189C199343813 @default.
- W2772059189 hasConceptScore W2772059189C199360897 @default.
- W2772059189 hasConceptScore W2772059189C2777686260 @default.
- W2772059189 hasConceptScore W2772059189C2778029271 @default.
- W2772059189 hasConceptScore W2772059189C28826006 @default.
- W2772059189 hasConceptScore W2772059189C33923547 @default.
- W2772059189 hasConceptScore W2772059189C34388435 @default.
- W2772059189 hasConceptScore W2772059189C41008148 @default.
- W2772059189 hasConceptScore W2772059189C71924100 @default.
- W2772059189 hasConceptScore W2772059189C78458016 @default.
- W2772059189 hasConceptScore W2772059189C82240120 @default.
- W2772059189 hasConceptScore W2772059189C86803240 @default.
- W2772059189 hasFunder F4320334779 @default.
- W2772059189 hasLocation W27720591891 @default.
- W2772059189 hasLocation W27720591892 @default.
- W2772059189 hasOpenAccess W2772059189 @default.
- W2772059189 hasPrimaryLocation W27720591891 @default.
- W2772059189 hasRelatedWork W2122379620 @default.
- W2772059189 hasRelatedWork W2153986661 @default.
- W2772059189 hasRelatedWork W2318637555 @default.
- W2772059189 hasRelatedWork W2624340793 @default.
- W2772059189 hasRelatedWork W2772059189 @default.
- W2772059189 hasRelatedWork W2790394477 @default.
- W2772059189 hasRelatedWork W2883907003 @default.
- W2772059189 hasRelatedWork W302035514 @default.
- W2772059189 hasRelatedWork W3080875783 @default.
- W2772059189 hasRelatedWork W2140857733 @default.
- W2772059189 hasVolume "335" @default.
- W2772059189 isParatext "false" @default.
- W2772059189 isRetracted "false" @default.
- W2772059189 magId "2772059189" @default.
- W2772059189 workType "article" @default.