Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula

Advances in Applied Probability

Volumn 40, Issue 1, 2008, Pages 122-143

  Janssen, A J E M ^a   Van Leeuwaarden, J S H ^b   Zwart, Bert ^c  

^a PHILIPS RESEARCH LABORATORIES   (Netherlands)

^b EURANDOM   (Netherlands)

^c Georgia Institute of Technology   (United States)

Author keywords

Asymptotic expansion; Bounds; Erlang B formula; Erlang loss model; Gaussian integrals; Lambert W function; Normal distribution; Poisson distribution; Ramanujan's conjecture

Indexed keywords

ASYMPTOTIC ANALYSIS; MATHEMATICAL MODELS; NORMAL DISTRIBUTION; POISSON DISTRIBUTION;

ERLANG LOSS MODEL; GAUSSIAN INTEGRALS; LAMBERT W-FUNCTION; RAMANUJAN'S CONJECTURE;

GAUSSIAN DISTRIBUTION;

EID: 44649181089     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1208358889     Document Type: Article

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