članak: 1 od 1  
Facta universitatis - series: Electronics and Energetics
2006, vol. 19, br. 1, str. 109-131
jezik rada: srpski
neklasifikovan
doi:10.2298/FUEE0601109A

On regularly varying distributions generated by birth-death process
(naslov ne postoji na srpskom)
aInstitute of Signal Processing, Tampere University od Technology, Tampere, Finland
bDept. of Mathematics, Yerevan State University, Yerevan, Armenia

e-adresa: jaakko.astola@tut.fi

Sažetak

(ne postoji na srpskom)
Skewed distributions generated by birth-death process with different particular forms of intensivities’ moderate growth are used in biomolecular systems and various non-mathematical fields. Based on datasets of biomolecular systems such distributions have to exhibit the power law like behavior at infinity, i.e. regular variation. In the present paper for the standard birth-death process with most general than before assumptions on moderate growth of intensivities the following problems are solved. 1. The stationary distribution varies regularly if the sequence of intensivities varies regularly. 2. The slowly varying component and the exponent of regular variation of stationary distribution are found.

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