K-te wartości rekordowe i ich podstawowe własności

• Autorzy: Dziubdziela W.

Identyfikatory

DOI

10.14708/ma.v46i2.6367

Warianty tytułu

EN

K-th Record Values and Their Basic Properties

• Języki publikacji: PL

Abstrakty

PL

W pracy przedstawiony jest model k-tych wartości rekordowych. K-te wartości rekordowe są ważnym przykładem uporządkowanych zmiennych losowych. Pojawiają się one w sposób naturalny w realnym życiu, w przypadku, gdy jesteśmy zainteresowani kolejnymi k-tymi maksymalnymi obserwacjami. Formalną definicję k-tych wartości rekordowych podali Dziubdziela i Kopociński w 1976 roku. Artykuł zawiera probabilistyczną teorię dla tego modelu.

EN

In this paper, the k-th record value model is presented. The k-th record values has emerged as an important model of ordered random variables. They appears naturally in real life where one interested in successive K-th maximum observations. The k-th record values are formally defined by Dziubdziela i Kopociński (1976). The paper contains distributional theory for this model.

Słowa kluczowe

PL

k-te wartości rekordowe; k-te czasy rekordowe; liczba k-tych wartości rekordowych; proces punktowy k-tych wartości rekordowych; reprezentacje k-tych wartości rekordowych

EN

k-th record values; k-th record times; number of k-th record values; point process of k-th record values; representations of k-th record values

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2018
• Tom: Vol. 46, no. 2
• Strony: 293--324
• Opis fizyczny: Bibliogr. 49 poz.

Twórcy

autor

Dziubdziela W.

• Polskie Towarzystwo Matematyczne, Oddział Kielecki, Instytut Matematyki Uniwersytetu Jana Kochanowskiego w Kielcach, ul. Świętokrzyska 15, Kielce 25-406, Polska

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).