371 research outputs found
Rhydderch — Broderick?
Get PDFThe paper focuses on the British family name Broderick that for many years was believed, but never adequately explained, to derive from the British personal name Rhydderch. However, in the recently published Oxford Dictionary of Family Surnames in Britain and Ireland (Oxford University Press, 2016) the editors have changed tack and suggested that the name may in fact be a nickname derived from Middle English meaning ‘broad-backed, broad shouldered’, found also in English place-names in the north of England to mean ‘broad ridge’, etc. The editors supply ample examples of both the family name and the place-name in all its spellings. Whilst the forms may be suitable in place-names the given forms in the context of the family name Broderick seem to be late, as the name itself looks to be of much earlier provenance. In looking at the name the author argues that the family name Broderick in fact derives from the British personal name Rhydderch and seeks to explain the relevant phonological developments.Статья посвящена британской фамилии Broderick, которая, как давно считается (хотя эта версия так и не получила всестороннего адекватного объяснения), является производным от британского личного имени Rhydderch. В недавно опубликованном «Оксфордском словаре фамилий Британии и Ирландии» (Oxford Dictionary of Family Surnames in Britain and Ireland, 2016) редакторы заняли иную позицию, интерпретируя эту фамилию как прозвище, восходящее к среднеанглийскому слову со значением ‘ широкую спину, широкие плечи’, которое также зафиксировано в топонимии севера Англии в значении ‘широкий мост’. Составители словаря дают множество вариантов соответствующих фамилии и топоосновы, приводя примеры их функционирования. И хотя для объяснения топонимных образований приводимые формы вполне пригодны, они не могут объяснить появление фамилии Broderick, которая, по мнению автора, возникла существенно раньше упоминаемых в словаре случаев. Автор отстаивает традиционную точку зрения, согласно которой фамилия Broderick восходит к личному имени Rhydderch, и пытается объяснить соответствующие фонетические переходы
Exponential Approximations for Length Biased and Weighted Residual Life Reliability Functions
No full textThe applications of weighted distributions to biased samples is well known. Applications in various areas including medicine, ecology, reliability, and branching processes can be seen in Patil and Rao (1978), Gupta and Kirmani (1990), Gupta and Keating (1985), and Oluyede (1999) to mention just a few authors. In this note, we present stochastic inequalities, bounds and stability results on the distance between length-biased reliability functions as well as weighted residual life reliability functions with monotone weight functions and their exponential counterparts in the class of distribution functions with increasing or decreasing hazard rate and mean residual life functions. Some applications are also presented
Estimation in the Exponentiated Kumaraswamy Dagum Distribution with Censored Samples
Get PDFIn a recent note, Huang and Oluyede (2014) proposed a new model called the exponentiated Kumaraswamy Dagum (EKD) distribution with applications to income and lifetime data. In this note, this distribution is shown to be a very competitive model for describing censored observations in lifetime reliability problems. This work shows that in certain cases, the EKD distribution performs better than other parametric model such as the exponentiated Kumaraswamy Weibull distribution and its sub-models, which include some of the commonly used models in survival analysis and reliability analysis, such as the exponentiated Weibull, Weibull and exponential distributions
Estimation in the Exponentiated Kumaraswamy Dagum distribution with censored samples
Get PDFIn a recent note, Huang and Oluyede (2014) proposed a new model called the exponentiated Kumaraswamy Dagum (EKD) distribution with applications to income and lifetime data. In this note, this distribution is shown to be a very competitive model for describing censored observations in lifetime reliability problems. This work shows that in certain cases, the EKD distribution performs better than other parametric model such as the exponentiated Kumaraswamy Weibull distribution and its sub-models, which include some of the commonly used models in survival analysis and reliability analysis, such as the exponentiated Weibull, Weibull and exponential distributions
Exponential Dominance and Uncertainty for Weighted Residual Life Measures
No full textIn this article notions of exponential dominance and uncertainty for weighted and unweighted distributions are explored and used to compare values of the informational energy function and the differential entropy. Stochastic inequalities and bounds for cross-discrimination and uncertainty measures in weighted and unweighted residual life distribution functions and related reliability measures are presented. Moment-type inequalities for the comparisons of weighted and unweighted residual life distributions are also presented
On stochastic comparisons of energy functions with applications
Get PDFWe develop simple methods for the stochastic comparisons of informational energy functions. We introduce modified informational energy functions and uncertainty of parameter functions are introduced for models with realistic parameter
spaces. We present inequalities, comparisons, and applications including test procedures for testing the equality of informational energy functions. Some illustrative examples are also presented
On inequalities and partial orderings for weighted reliability measures
Get PDF Inequalities, relations and partial ordering for weighted reliability measures are presented. Inequalities for Lévy distance measure for weighted distributions are obtained in terms of the parent distributions. Reliability inequalities and stability results are established for weighted distributions with monotone hazard and mean residual life functions.</p
The Gamma-Weibull-G Family of Distributions with Applications
No full textWeibull distribution and its extended families has been widely studied in lifetime applications. Based on the Weibull-G family of distributions and the exponentiated Weibull distribution, we study in detail this new class of distributions, namely, Gamma-WeibullG family of distributions (GWG). Some special models in the new class are discussed. Statistical properties of the family of distributions, such as expansion of density function, hazard and reverse hazard functions, quantile function, moments, incomplete moments, generating functions, mean deviations, Bonferroni and Lorenz curves and order statistics are presented. We also present R´enyi entropy, estimation of parameters by using method of maximum likelihood, asymptotic confidence intervals and applications using real data</jats:p
Inequalities and comparisons of the cauchy, gauss, and logistic distributions
No full textAbstractIn this note, some inequalities and basic results including characterizations and comparisons of the Cauchy, logistic, and normal distributions are given. These results lead to necessary and sufficient conditions for the stochastic and dispersive ordering of the corresponding absolute random variables
On some length biased inequalities for reliability measures
Get PDF In this note, inequalities for length biased and the original residual life function and equilibrium distribution function with monotone hazard rate and mean residual life functions are derived. We also obtain estimates of the length biased probability density function and hazard function under random censoring. Finally, the Bayesian exponential reliability estimate under length biased sampling using a conjugate prior for the scale parameter is given.</p
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