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Dissertations / Theses on the topic 'Burr type XII distribution'

Author: Grafiati

Published: 3 June 2025

Last updated: 19 July 2025

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1

Pant, Mohan Dev. "Simulating Univariate and Multivariate Burr Type III and Type XII Distributions Through the Method of L-Moments." OpenSIUC, 2011. https://opensiuc.lib.siu.edu/dissertations/401.

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The Burr families (Type III and Type XII) of distributions are traditionally used in the context of statistical modeling and for simulating non-normal distributions with moment-based parameters (e.g., Skew and Kurtosis). In educational and psychological studies, the Burr families of distributions can be used to simulate extremely asymmetrical and heavy-tailed non-normal distributions. Conventional moment-based estimators (i.e., the mean, variance, skew, and kurtosis) are traditionally used to characterize the distribution of a random variable or in the context of fitting data. However, conven

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2

Johnson, Richard. "Accelerated life testing and the Burr XII distribution." Thesis, Swansea University, 2003. https://cronfa.swan.ac.uk/Record/cronfa42233.

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This thesis looks at extending previous work in the field of accelerated life testing experiments. Hitherto, much investigation in this field has centred on a few standard statistical lifetime distributions, the Weibull being particularly popular. We consider a more flexible distribution, the Burr XII, and compare theoretical and simulated results; we also examine a number of examples. This comparison is interesting particularly since there is a limiting relationship between the two distributions, a property that is exploited in this thesis. Having laid down the necessary groundwork, we then p

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3

Lanjoni, Beatriz Rezende. "O modelo Burr XII geométrico: propriedades e aplicações." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-17122013-085812/.

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No presente trabalho são propostos dois modelos para dados censurados baseados na mistura da distribuição geométrica e na distribuição Burr XII considerando duas ativações latentes, máximo e mínimo. A distribuição Burr XII tem três parâmetros e é uma generalização da distribuição log-logística. Por sua vez a distribuição Burr XII Geométrica tipo I e tipo II tem quatro parâmetros e são generalizações da distribuição Burr XII relacionados as ativações latentes do mínimo e máximo respectivamente. Foram apresentadas algumas propriedades das duas novas distribuições tais como momentos, assimetria,

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4

Kim, Woosuk. "Statistical Inference on Dual Generalized Order Statistics for Burr Type III Distribution." University of Cincinnati / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1396533232.

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Brito, Edleide de. "Algumas novas distribuições: desenvolvimento e aplicações." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-12082014-150647/.

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Nos últimos anos, diversos autores têm concentrado seus esforços na generalização de distribuições de probabilidades obtendo, dessa forma, maior flexibilidade e, consequentemente, ganho na análise de dados e na capacidade de incorporar um grande número de sub-modelos nas distribuições generalizadas. Neste trabalho, serão apresentadas duas novas distribuições de probabilidade: McGumbel e gama Burr XII; e uma nova família de distribuições de probabilidade: Marshall-Olkin binomial negativa. Algumas propriedades das novas distribuições são apresentadas e o método de máxima verossimilhança foi util

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6

Ahmad, Shafiq, and Shafiq ahmad@rmit edu au. "Process capability assessment for univariate and multivariate non-normal correlated quality characteristics." RMIT University. Mathematical and Geospatial Sciences, 2009. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20091127.121556.

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In today's competitive business and industrial environment, it is becoming more crucial than ever to assess precisely process losses due to non-compliance to customer specifications. To assess these losses, industry is extensively using Process Capability Indices for performance evaluation of their processes. Determination of the performance capability of a stable process using the standard process capability indices such as and requires that the underlying quality characteristics data follow a normal distribution. However it is an undisputed fact that real processes very often produce non

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7

Chen, Yung-Lin, and 陳詠霖. "Statistical analysis of two-parameter Burr-XII distribution under Type II progressive censoring with random removals." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/45346315468621242679.

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碩士<br>淡江大學<br>統計學系<br>92<br>In many application of industrial experiment, life-tests are often one of the main research topics. Censoring arises under the consideration of saving time and cost. There are several types of censoring schemes and the Progressively Type II censoring scheme is one of those. When the failure factor of the product is fatigue or aging, the two-parameter Burr-XII distribution with unimodal failure rate function will be more appropriate. Therefore, the interval estimations of two parameters and the hypothesis testing of shape parameter for Burr-XII distribution under Typ

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8

Liu, Chia-Cheng, and 劉家成. "Step Partially Accelerated Life Tests for Burr XII Distribution with Type I Censored Data:MLE Performance in Small Sample." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/46961606579767425415.

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碩士<br>淡江大學<br>統計學系碩士班<br>100<br>The lifetime of products under normal conditions endures a long period of time because of high reliability of products. Reducing the sample size is the only way to solve this problem. It is difficult to obtain information about the lifetime of products under normal conditions. In order to assure rapid failure and then shorten the testing period, accelerated life test (ALT) is commonly used to obtain information about the lifetime of products quickly. In some cases, the failure model relating the lifetime of products and the stress are not known or cannot be assu

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9

Chen, Tzu-Chin, and 陳姿瑾. "A testing procedure for the lifetime performance index of products with Burr XII distribution under progressive type I interval censoring." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/s3emd8.

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碩士<br>淡江大學<br>統計學系碩士班<br>102<br>In recent years, consumers are in the pursuit of more stringent product quality requirements for many high-tech products such as tablet, smart mobile phones, etc. In practice, many researchers have developed a variety of methods to assess the quality of the product and the method of process capability indices (PCIs) is one of them. This research is focusing on the lifetime of products following the Burr XII distribution. The maximum likelihood estimator is used to estimate the lifetime performance index (CL) based on the progressive type I interval censored s

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10

Lin, Ya-Li, and 林雅莉. "Statistical inference about the shape parameter of the Burr type XII and Lognormal distributions based on multiply type II censored sample." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/01416020342338538728.

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碩士<br>淡江大學<br>統計學系碩士班<br>93<br>In human life, we often encounter the situation of getting censored sample, for example, because of the restriction of time and cost or human mistake, we can’t get all observations. In practice, there are often these issues concerned in the data of the reliability or survival analysis. In face of this censored data, we can’t apply traditional statistical inference to perform our analysis on it. Therefore, what we discuss in this paper is statistical inference with multiply type II censored sample. In this paper, we discuss the lifetime distribution with the u

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11

Kang, Che-Wei, and 康哲維. "The power analysis of the testing procedure for the lifetime performance index of products with Burr XII distribution under progressive type I interval censoring." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/ezj3mx.

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碩士<br>淡江大學<br>統計學系碩士班<br>106<br>It is a very important topic these days to assessing the lifetime performance of products in manufacturing or service industries. Lifetime performance indices CL is used to measure the larger-the-better type quality characteristics to evaluate the process performance for the improvement of quality and productivity. The lifetimes of products are assumed to have Burr XII distribution. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type I interval censored sample. Two kinds of Bootstrap methods are devel

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12

Chang, I.-Jou, and 張逸柔. "Assessing the lifetime performance indices of products with the Burr XII and Extreme Value distributions based on doubly type II censored samples." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/33518545117871472939.

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碩士<br>淡江大學<br>統計學系碩士班<br>100<br>In recent years, many process capability indices (PCIs) have been widely used in qality monitoring by many manufacturing industries.In practice, the lifetime performance index CL is utilized to measure lifetime performance for products with some lifetime distributions, where L is the lower specification limit. In lifetime testing experiments, we may not be able to obtain a complete sample due to time limitation or other restrictions. Therefore, censored samples arise in practice. This research constructs an unbiased estimator of CL based on the doubly type

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13

Hsieh, Cheng-Kang, and 謝承剛. "Statistical inferences for the two parameters Burr-XII distribution and a new two parameters lifetime distribution with bathtub shape or increasing failure rate function under general type II progressive censoring with random removals." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/20367469600541046363.

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碩士<br>淡江大學<br>統計學系碩士班<br>93<br>Studies in the lifetime of the products are often the main research topics in industrial experiment. Due to the restriction of time, cost and material, censoring arises. There are several types of censoring schemes and the General Type II Progressive censoring scheme is one of those. When the failure factor of the product is fatigue or aging, Burr XII distribution with unimodal failure rate function will be more appropriate. When the hazard function of the product has bathtub shape, Bathtub distribution is more appropriate. Therefore, the interval estimations of

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14

Tsai, Mei-Huei, and 蔡美蕙. "Estimation for the parameters of the distributions with bathtub-shaped and Burr XII model failure rate function based on Type II progressive censored samples." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/07280407335214874357.

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碩士<br>淡江大學<br>統計學系<br>92<br>Studies in the lifetimes of the organisms and products are often the main research topics in the nature and industries. But we can not get complete sample under the restriction of time, cost and material. In practical, reliability analysis and survival analysis often have this problem. Therefore, it is very importance how to get result rapidly. All censored experiments are in order to save time and cost in reliability experiments. For different experiments, various censored methods have been developed, and progressive censored is one of the methods. In th

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15

Cheng, Yung-Fu, and 鄭永福. "Parameters estimation for the Burr XII distribution in partially accelerated life tests with multiple censored data." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/70011668693322023984.

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博士<br>國立臺灣科技大學<br>工業管理系<br>98<br>In many life testing and reliability studies, complete information on the failure times of all the experimental units may not be obtained for various reasons. Hence, censoring is very common in life testing experiments. Sometimes the experiments could not be under control completely because units may break accidentally. However, type I and type II censoring schemes do not allow for units to be removed from the test during the life testing duration. Multiple censoring schemes will be a good choice in this situation. The lifetime of products under normal cond

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16

Sung-Yu, Yeh, and 葉松佑. "Assessing the lifetime performance index of burr XII products based on the maximum likelihood estimator under progressively type II right censored samples." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/64127685091223988412.

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碩士<br>國立嘉義大學<br>應用數學系研究所<br>99<br>In the manufacturing industry, process capability indices (PCIs) are commonly utilized to assure whether product quality meets the required level. In general, larger-the-better type PCI (or lifetime performance index) CL is a common method to assess the product’s potential and performance of a process, where L is the lower specification limit. Most process capability indices assume the product quality characteristic comes from normal distribution, nevertheless, it is very questionable in practice. Hence, many researchers consider that lifetime of products may

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17

Khan, Muhammad Shuaib. "Transmuted families of lifetime distributions with mixture and covariates regression modelling to analyse survival data." Thesis, 2017. http://hdl.handle.net/1959.13/1347457.

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Research Doctorate - Doctor of Philosophy (PhD)<br>This thesis develops and presents new families of transmuted lifetime distributions with covariates regression modelling for reliability and life-testing experiments. The main idea of this thesis is the quadratic rank transmutation map (QRTM) technique, used to generate a new flexible family of lifetime distributions. Chapter 1, describes the different generalised families of lifetime distributions used in this thesis. It also outlines the general framework of transmuted distributions, and provides a review of the current literature on related

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18

Hsu, Huei-Ying, and 許慧瑛. "Bayesian predictive interval estimation for the parameters of Burr Type X distribution based on one-sample and two-sample data." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/xw33x7.

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碩士<br>淡江大學<br>統計學系碩士班<br>96<br>In the researching on the reliability of products and improvement, usually need to carry out life test. During life testing, the future observations in an ordered sample are often expected to be predicted. In this thesis, we have two different data types: one is under the type II censored samples,the other is ranked set samples. We adopted Bayesian method to obtain the prediction intervals of future ordered observation for the products. This paper presents two parts, one is under the type II censored sample from Burr type X distribution, adopted Bayesian method

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