Runs Based on Records: Their Distributional Properties and an Application to Testing for Dispersive Ordering

2011 ◽  
Vol 15 (3) ◽  
pp. 583-594 ◽  
Author(s):  
Narayanaswamy Balakrishnan ◽  
Alexei Stepanov
Keyword(s):  
Distributional Properties ◽  
Dispersive Ordering

Dispersive Ordering Results.

1983 ◽  
Author(s):  
James Lynch ◽  
Frank Proschan
Keyword(s):  
Dispersive Ordering

Sensitivity to distributional properties of the orthography in the spelling of Italian children with dyslexia

2021 ◽  
pp. 174702182199892
Author(s):  
Chiara Valeria Marinelli ◽  
Marika Iaia ◽  
Cristina Burani ◽  
Paola Angelelli
Keyword(s):  
Low Frequency ◽  
Typically Developing ◽  
Typically Developing Children ◽  
Lexical Knowledge ◽  
Priming Effects ◽  
Lexical Priming ◽  
Distributional Properties ◽  
Developing Readers ◽  
Priming Paradigm ◽  
Italian Children

The study examines statistical learning in the spelling of Italian children with dyslexia and typically developing readers by studying their sensitivity to probabilistic cues in phoneme-grapheme mappings. In the first experiment children spelled to dictation regular words and words with unpredictable spelling that contained either a high- or a low-frequency (i.e., typical or atypical) sound-spelling mappings. Children with dyslexia were found to rely on probabilistic cues in writing stimuli with unpredictable spelling to a greater extent than typically developing children. The difficulties of children with dyslexia on words with unpredictable spelling were limited to those containing atypical mappings. In the second experiment children spelled new stimuli, that is, pseudowords, containing phonological segments with unpredictable mappings. The interaction between lexical knowledge and reliance on probabilistic cues was examined through a lexical priming paradigm in which pseudowords were primed by words containing related typical or atypical sound-to-spelling mappings. In spelling pseudowords, children with dyslexia showed sensitivity to probabilistic cues in the phoneme-to-grapheme mapping but lexical priming effects were also found, although to a smaller extent than in typically developing readers. The results suggest that children with dyslexia have a limited orthographic lexicon but are able to extract regularities from the orthographic system and rely on probabilistic cues in spelling words and pseudowords.

Stochastic comparison of parallel systems with Pareto components

2021 ◽  
pp. 1-13
Author(s):  
Sameen Naqvi ◽  
Weiyong Ding ◽  
Peng Zhao
Keyword(s):  
Order Statistics ◽  
Extreme Value Theory ◽  
Pareto Distribution ◽  
Parallel Systems ◽  
Value Theory ◽  
Extreme Value ◽  
Stochastic Comparison ◽  
Shape Parameters ◽  
Scale Parameters ◽  
Dispersive Ordering

Abstract Pareto distribution is an important distribution in extreme value theory. In this paper, we consider parallel systems with Pareto components and study the effect of heterogeneity on skewness of such systems. It is shown that, when the lifetimes of components have different shape parameters, the parallel system with heterogeneous Pareto component lifetimes is more skewed than the system with independent and identically distributed Pareto components. However, for the case when the lifetimes of components have different scale parameters, the result gets reversed in the sense of star ordering. We also establish the relation between star ordering and dispersive ordering by extending the result of Deshpande and Kochar [(1983). Dispersive ordering is the same as tail ordering. Advances in Applied Probability 15(3): 686–687] from support $(0, \infty )$ to general supports $(a, \infty )$ , $a > 0$ . As a consequence, we obtain some new results on dispersion of order statistics from heterogeneous Pareto samples with respect to dispersive ordering.

scholarly journals Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix

2020 ◽  
Vol 8 (1) ◽  
pp. 22-35
Author(s):  
M. Shakil ◽  
M. Ahsanullah
Keyword(s):  
Order Statistics ◽  
Condition Number ◽  
Record Values ◽  
Distributional Properties ◽  
Upper Record Values ◽  
Upper Record

AbstractThe objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.

A general risk process and its properties

1992 ◽  
Vol 29 (1) ◽  
pp. 73-81 ◽  
Author(s):  
Thomas H. Scheike
Keyword(s):  
Risk Process ◽  
Jump Size ◽  
The Past ◽  
Distributional Properties ◽  
Jump Time ◽  
The Law ◽  
Jump Sizes

We construct a risk process, where the law of the next jump time or jump size can depend on the past through earlier jump times and jump sizes. Some distributional properties of this process are established. The compensator is found and some martingale properties are discussed.

The orientation to life questionnaire: Assessing older adults’ sense of coherence

2016 ◽  
Vol 33 (S1) ◽  
pp. s289-s289
Author(s):  
S. von Humboldt ◽  
I. Leal
Keyword(s):  
Older Adults ◽  
Psychometric Properties ◽  
Sense Of Coherence ◽  
Discriminant Validity ◽  
Well Being ◽  
Community Dwelling ◽  
Care Practice ◽  
Life Questionnaire ◽  
Distributional Properties ◽  
Cross National

IntroductionGrowing literature suggests that the sense of coherence (SOC) positively influences well-being in later life.ObjectivesThis study reports the assessment the following psychometric properties: distributional properties, construct, criterion and external-related validities, and reliability, of the Orientation to Life Questionnaire (OtLQ) in an cross-national population of older adults.MethodsWe recruited 1291 community-dwelling older adults aged between 75–102 years (M = 83.9; SD = 6.68). Convenience sampling was used to gather questionnaire data. The construct validity was asserted by confirmatory factor analysis, convergent and discriminant validity. Moreover, criterion and external-related validities, as well as distributional properties and reliability were also tested.ResultsData gathered with the 29-items OtLQ scale showed overall good psychometric properties, in terms of distributional properties, construct, criterion and external-related validities, as well as reliability. Three factors were validated for the OtLQ scale: (a) comprehensibility; (b) manageability; and (c) meaningfulness.ConclusionWe validated the 3-factor OtLQ scale, which produced valid and reliable data for a cross-national sample with older adults. Hence, it is an adequate instrument for assessing sense of coherence among older people in health care practice and program development contexts.Disclosure of interestThe authors have not supplied their declaration of competing interest.

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