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A statistical framework for a new Kavya-Manoharan Bilal distribution using ranked set sampling and simple random sampling

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255209" target="_blank" >RIV/61989100:27740/24:10255209 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S2405844024067938?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2405844024067938?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.heliyon.2024.e30762" target="_blank" >10.1016/j.heliyon.2024.e30762</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A statistical framework for a new Kavya-Manoharan Bilal distribution using ranked set sampling and simple random sampling

  • Original language description

    In survival and stochastic lifespan modeling, numerous families of distributions are sometimes considered unnatural, unjustifiable theoretically, and occasionally superfluous. Here, a novel parsimonious survival model is developed using the Bilal distribution (BD) and the KavyaManoharan (KM) parsimonious transformation family. In addition to other analytical properties, the forms of probability density function (PDF) and behavior of the distributions &apos; hazard rates are analyzed. The insights are theoretical as well as practical. Theoretically, we offer explicit equations for the single and product moments of order statistics from Kavya-Manoharan Bilal Distribution. Practically, maximum likelihood (ML) technique, which is based on simple random sampling (SRS) and ranked set sampling (RSS) sample schemes, is employed to estimate the parameters. Numerical simulations are used as the primary methodology to compare the various sampling techniques.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Heliyon

  • ISSN

    2405-8440

  • e-ISSN

    2405-8440

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    17

  • Pages from-to

  • UT code for WoS article

    001239842200001

  • EID of the result in the Scopus database

    2-s2.0-85192336334