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    Wyświetlanie 1-8 z 8
    Tytuł:
    Alternative approach to moments of order statistics from one-parameter Weibull distribution
    Autorzy:
    Rai, Piyush Kant
    Sirohi, Anu
    Powiązania:
    https://bibliotekanauki.pl/articles/1358308.pdf
    Data publikacji:
    2020-03-23
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    order statistics
    survival function
    moments
    characteristic function
    Opis:
    The Weibull distribution is used to describe various observed failures of phenomena and widely used in survival analysis and reliability theory. Sometimes it is very difficult to compute moments of such distributions due to various reasons for e.g. analytical issues, multi parameter cases etc. This study presents the computation of the moments and the expected value of the product of order statistics in the sample from the one-parameter Weibull distribution. An alternative approach in connection to survival function is used to obtain these moments and expected values. In addition the characteristic function of the above distribution is also obtained in the form of gamma functions. Further an illustration is shown to find the first two moments and expected value of the product of order statistics by using this approach.
    Źródło:
    Statistics in Transition new series; 2020, 21, 1; 169-176
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Transmuted Kumaraswamy Distribution
    Autorzy:
    Khan, Muhammad Shuaib
    King, Robert
    Hudson, Irene Lena
    Powiązania:
    https://bibliotekanauki.pl/articles/973543.pdf
    Data publikacji:
    2016
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Kumaraswamy distribution
    moments
    order statistics
    parameter estimation
    maximum likelihood estimation
    Opis:
    The Kumaraswamy distribution is the most widely applied statistical distribution in hydrological problems and many natural phenomena. We propose a generalization of the Kumaraswamy distribution referred to as the transmuted Kumaraswamy (T K w) distribution. The new transmuted distribution is developed using the quadratic rank transmutation map studied by Shaw et al. (2009). A comprehensive account of the mathematical properties of the new distribution is provided. Explicit expressions are derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The T K w distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/ AIDS data applications illustrate the usefulness of the proposed model.
    Źródło:
    Statistics in Transition new series; 2016, 17, 2; 183-210
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the improvement of paired ranked set sampling to estimate population mean
    Autorzy:
    Rehman, Syed Abdul
    Shabbir, Javid
    Powiązania:
    https://bibliotekanauki.pl/articles/1827556.pdf
    Data publikacji:
    2021-09-06
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    order statistics
    ranked set sampling
    relative efficiency
    unbiased estimator
    imperfect ranking
    Opis:
    In ecological and environmental sampling the quantification of units is either difficult or overly demanding in terms of the time, money, workload, it requires. For this reason efficient and cost-effective sampling methods need to be devised for data collecting. The most commonly used method for this purpose is the Ranked Set Sampling (RSS). In this paper, a sampling scheme called Improved Paired Ranked Set Sampling (IPRSS) is proposed to estimate the population mean. The performance of the proposed IPRSS is evaluated under perfect and imperfect rankings. A simulation study based on selected hypothetical distributions and a real-life data set showed that IPRSS is more precise than RSS, Paired RSS (PRSS) or Extreme RSS (ERSS).
    Źródło:
    Statistics in Transition new series; 2021, 22, 3; 193-205
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Statistical properties and different methods of estimation for extended weighted inverted Rayleigh distribution
    Autorzy:
    Yadav, Abhimanyu Singh
    Singh, S. K.
    Singh, Umesh
    Powiązania:
    https://bibliotekanauki.pl/articles/1363558.pdf
    Data publikacji:
    2020-06-05
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    moments and inverse moments
    entropy measurements
    order statistics
    classical methods of estimation
    Opis:
    The aim of this paper is to introduce a new weighted probability distribution to model the non-monotone failure rate pattern for survival data. The proposed distribution is generalized by considering inverted Rayleigh distribution as a baseline distribution called an extended weighted inverted Rayleigh distribution. Different statistical properties such as moment, quantile function, moment generating function, entropy measurement, Bonferroni and Lorenz curve, stochastic ordering and order statistics have been derived. Different estimation procedures have also been discussed to estimate the unknown parameters of the proposed probability distribution. The Monte Carlo simulation study has been conducted to compare the performances of the proposed estimators obtained through various methods of estimation. Finally, two real data sets have been used to show the applicability of the proposed model in a real-life scenario.
    Źródło:
    Statistics in Transition new series; 2020, 21, 2; 119-141
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Conditional Simple Random Sample
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/465622.pdf
    Data publikacji:
    2014
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    simple random sample
    conditional sampling design
    sampling scheme
    inclusion probabilities
    auxiliary variable
    order statistics
    Opis:
    Estimation of the population average in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics of the auxiliary variable is studied. The sampling scheme implementing the sampling design is proposed. The inclusion probabilities are derived. The well known Horvitz-Thompson statistic under the conditional simple random sampling designs is considered as the estimator of population mean. Moreover, it was shown that the Horvitz-Thompson estimator under some particular cases of the conditional simple random sampling design is more accurate than the ordinary mean from the simple random sample.
    Źródło:
    Statistics in Transition new series; 2014, 15, 4; 525-534
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences
    Autorzy:
    Aijaz, Ahmad
    Ain, S. Qurat ul
    Afaq, Ahmad
    Tripathi, Rajnee
    Powiązania:
    https://bibliotekanauki.pl/articles/2108223.pdf
    Data publikacji:
    2022-09-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    compound technique
    Poisson distribution
    area-biased Ailamujia distribution
    reliability analysis
    order statistics
    maximum likelihood estimator
    Opis:
    In this paper, a new Poisson area-biased Ailamujia distribution has been formulated to analyse count data. It was created by combining two distributions: the Poisson and areabiased Ailamujia distributions, using the compounding technique. Several distributional properties of the formulated distribution were studied. Its ageing characteristics were determined and expressed explicitly. A variety of diagrams were used to demonstrate the characteristics of the probability mass function (pmf) and the cumulative distribution function (cdf). The parameter of the developed model was estimated by employing the maximum likelihood estimation approach. Finally, two data sets were used to demonstrate the effectiveness of the investigated distribution.
    Źródło:
    Statistics in Transition new series; 2022, 23, 3; 167-184
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized Pareto distribution based on generalized order statistics and associated inference
    Autorzy:
    Malik, Mansoor Rashid
    Kumar, Devendra
    Powiązania:
    https://bibliotekanauki.pl/articles/1193074.pdf
    Data publikacji:
    2019-08-30
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    generalized order statistics
    generalized Pareto distribution
    single and product moment
    recurrence relations
    characterization and maximum likelihood estimation
    Opis:
    In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, the simulation studies are performed and compared to the performance of the generalized Pareto distribution.
    Źródło:
    Statistics in Transition new series; 2019, 20, 3; 57-79
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference
    Autorzy:
    Saran, Jagdish
    Pushkarna, Narinder
    Sehgal, Shikha
    Powiązania:
    https://bibliotekanauki.pl/articles/1917117.pdf
    Data publikacji:
    2021-12-08
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    progressively Type-II right censored order statistics
    single moments
    product moments
    recurrence relations
    power Lomax distribution
    maximum likelihood estimation
    Opis:
    In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes ?? and all censoring schemes (R1, R2, ..., Rm) m ≤ n in a simple recursive manner. The maximum likelihood approach is used for the estimation of the parameters and the reliability characteristic. A Monte Carlo simulation study has been conducted to compare the performance of the estimates for different censoring schemes.
    Źródło:
    Statistics in Transition new series; 2021, 22, 4; 191-212
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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