K-th Record Values and Their  Basic Properties

Dziubdziela, Wiesław

doi:10.14708/ma.v46i2.6367

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2020

2024

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Cited by 3 publications

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“…Although such a sequence does not necessarily accurately describe reality, it makes it easier to use probabilistic tools, e.g., the theory of 𝑘-th record values (see [Dziubdziela, Kopociński 1976], [Dziubdziela 2018]). A general model of potential bids for any 𝑘 was considered by Dziubdziela [2008], who examined limiting properties of relative increment of auction prices, using the results obtained in the papers of [Bieniek, Szynal 2000] and [Bieniek, Szynal 2003].…”

Section: Introductionmentioning

confidence: 99%

On joint distribution of bids in some k-th price auction model

Stachura,

Wodecka

2024

QME

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In the era of increasingly widespread use of electronic communication tools, constant growth of e-commerce turnover is hardly surprising. One of its mechanisms are online auctions whose turnover, on a global scale, is enormous. This paper proposes a stochastic model of the value of subsequent actual bids appearing in the course of a dynamic internet k-th price auction. On this basis, it was possible to determine unconditional joint probability distributions, as well as univariate marginal distributions of successive bids appearing in the course of the auction type under consideration.

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