scholarly journals Some characterizations of Arcsine distribution

2015 ◽  
Vol 1 (2) ◽  
pp. 70-75
Author(s):  
M. Ahsanullah

Abstract Some distributional properties of the symmetric arcsine distribution on (−1, 1) is presented. Based on the distributional properties, several characterizations of the arcsine distribution are given.

2021 ◽  
pp. 174702182199892
Author(s):  
Chiara Valeria Marinelli ◽  
Marika Iaia ◽  
Cristina Burani ◽  
Paola Angelelli

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.


2020 ◽  
Vol 8 (1) ◽  
pp. 22-35
Author(s):  
M. Shakil ◽  
M. Ahsanullah

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.


1992 ◽  
Vol 29 (1) ◽  
pp. 73-81 ◽  
Author(s):  
Thomas H. Scheike

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.


1980 ◽  
Vol 75 (369) ◽  
pp. 173-175 ◽  
Author(s):  
Barry C. Arnold ◽  
Richard A. Groeneveld
Keyword(s):  

2016 ◽  
Vol 33 (S1) ◽  
pp. s289-s289
Author(s):  
S. von Humboldt ◽  
I. Leal

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.


2021 ◽  
Vol 12 ◽  
Author(s):  
Yvan Rose ◽  
Natalie Penney

This article focuses on the emergence of consonantal place and manner feature categories in the speech of first language learners. Starting with an overview of current representational approaches to phonology, we take the position that only models that allow for the emergence of phonological categories at all levels of phonological representation (from sub-segmental properties of speech sounds all the way to word forms represented within the child’s lexicon) can account for the data. We begin with a cross-linguistic survey of the acquisition of rhotic consonants. We show that the types of substitutions affecting different rhotics cross-linguistically can be predicted from two main observations: the phonetic characteristics of these rhotics and the larger system of categories displayed by each language. We then turn to a peculiar pattern of labial substitution for coronal continuants in the speech of a German learner. Building on previous literature on the topic, we attribute the emergence of this pattern to distributional properties of the child’s developing lexicon. Together, these observations suggest that our understanding of phonological emergence must involve a consideration of multiple, potentially interacting levels of phonetic and phonological representation.


2020 ◽  
Author(s):  
Ines Buchholz ◽  
You-Shan Feng ◽  
Maresa Buchholz ◽  
Lewis E. Kazis ◽  
Thomas Kohlmann

Abstract BackgroundThe translated and culturally adapted German version of the Veterans Rand 36 Items Health Survey (VR-36), and its short form, the VR-12 counterpart, were validated in a German sample of orthopedic (n = 399) and psychosomatic (n = 292) inpatient rehabilitation patients.MethodsThe instruments were analyzed regarding their acceptance, distributional properties, validity, responsiveness and ability to discriminate between groups by age, sex and clinically specific groups. Eligible study participants completed the VR-36 (n = 169) and the VR-12 (n = 177). They also completed validated patient-reported outcome measures (PROs) including the Euroqol-5 Dimensions 5 Level (EQ-5D-5L); Depression, Anxiety and Stress Scale (DASS); Hannover Functional Abilities Questionnaire (HFAQ); and CDC Healthy Days. The VR-12 and the VR-36 were compared to the reference instruments MOS Short Form-12 Items Health Survey (SF-12) version 1.0 and MOS Short Form-36 Items Health Survey (SF-36) version 1.0, using percent of completed items, distributional properties, correlation patterns, distribution measures of known groups validity, confirmatory factor analysis (CFA) and effect size measures.ResultsItem non-response varied between 1.8%/1.1% (SFVR−36/RESF−36) and 6.5%/8.6% (GHVR−36/GHSF−36). PCS was normally distributed (Kolmogorov-Smirnov Tests: p > 0.05) with means, standard deviations and ranges very similar between SF-36 (37.5 ± 11.7[13.8–66.1]) and VR-36 (38.5 ± 10.1[11.7–67.8]), SF-12 (36.9 ± 10.9[15.5–61.6]) and VR-12 (36.2 ± 11.5[12.7–59.3]). MCS was not normally distributed with slightly differing means and ranges between the instruments (MCSVR−36: 36.2 ± 14.2[12.9–66.6], MCSSF−36: 39.0 ± 15.6[2.0-73.2], MCSVR−12: 37.2 ± 13.8[8.4–70.2], MCSSF−12: 39.0 ± 12.3[17.6–65.4]). Construct validity was established by comparing correlation patterns of the MCSVR and PCSVR with measures of physical and mental health. For both PCSVR and MCSVR there were moderate (0.4–0.7) to high (> 0.7) correlations with convergent (PCSVR: 0.55–0.76, MCSVR: 0.60–0.78) and small correlations (< 0.3) with divergence (PCSVR: <0.12, MCSVR: <0.16) self-report measures. Known-groups validity was demonstrated for both VR-12 and VR-36 (MCS and PCS) via comparisons of distribution parameters with significant higher mean PCS and MCS scores in both VR instruments found in younger patients with fewer sick days in the last year and a shorter duration of rehabilitation.ConclusionsThe psychometric analysis confirmed that the German VR is a valid and reliable instrument for use in orthopedic and psychosomatic rehabilitation. Yet further research is needed to evaluate its usefulness in other populations.


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