Prediction of the Geometric Renewal Process | Zendy

Vaidotas Kanišauskas | Zendy; Karolina Piaseckienė | Zendy

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Prediction of the Geometric Renewal Process

Author(s) -

Vaidotas Kanišauskas,

Karolina Piaseckienė

Publication year - 2017

Publication title -

lithuanian journal of statistics

Language(s) - English

Resource type - Journals

ISSN - 2029-7262

DOI - 10.15388/ljs.2017.13673

Subject(s) - renewal theory , process (computing) , variance (accounting) , geometric distribution , mathematics , negative binomial distribution , binomial (polynomial) , computer science , calculus (dental) , algorithm , statistics , probability distribution , business , medicine , accounting , dentistry , poisson distribution , operating system

The first part of the paper presents major concepts and theoretical statements on prediction of processes. The second part presents the obtained results on the geometric renewal process by indicating its distribution which has a binomial distribution and is a process with independent and stationary increments. Further, having applied the theory introduced in the first part to the geometric renewal process, the sufficient and unbiased prediction with the minimum-variance has been found.

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