Principal directions of the general Pareto distribution with applications

Cuadras, Carles M.; Cuadras, Daniel; Lahlou, Younes

doi:10.1016/j.jspi.2004.11.001

Cited by 4 publications

(7 citation statements)

References 20 publications

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“…It extends some results by Cuadras [6][7][8], Cuadras and Fortiana [12], Cuadras and Lahlou [14,15] and Cuadras et al [13,11]. Finally some series of constants are obtained as a by-product.…”

Section: Introductionsupporting

confidence: 84%

“…This inequality was extended to any distribution by Klaasen [22]. Let us prove a related inequality concerning the function of a random variable and its derivative, which extends some results by Cuadras [8] and Cuadras et al [11]. The function f 1 is increasing, ψ 1 = f 1 is positive and f 1 (b) = I ψ 1 (x)dx is finite.…”

Section: Some Eigenproperties and Inequalitiessupporting

confidence: 66%

“…For other expansions, see [12,14,11]. Note that f n (X ), n ≥ 1, can be interpreted as principal components of the Bernoulli process X = {X t , t ∈ I }.…”

Section: Corollarymentioning

confidence: 99%

“…with tan(ξ n ) = ξ n . In general, for Pareto with α > 2 we have [11] f n (x) = 2(ξ n √ α − 1) −1 J κ (ξ n ) −1 √ x J κ (ξ n x (1−α)/2 ) − 1 , x > 1, where κ = (α − 1) −1 and ξ n is the nth positive root of J α α−1 . Then V (F) = α/[(2α − 1) (α − 1)], λ n = 4α/[(α − 1) 2 ξ 2 n ] and the first series gives…”

Section: Some Series Of Constantsmentioning

confidence: 99%

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Eigenanalysis on a bivariate covariance kernel

Cuadras

2008

Journal of Multivariate Analysis

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Certain constructions of copulas can be interpreted as an eigendecomposition of a kernel. We study some properties of the eigenfunctions and their integrals of a covariance kernel related to a bivariate distribution. The covariance between functions of random variables in terms of the cumulative distribution function is used. Some bounds for the trace of the kernel and some inequalities for a continuous random variable concerning a function and its derivative are obtained. We also obtain relations to diagonal expansions and canonical correlation analysis and, as a by-product, series of constants for some particular distributions.

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Section: Introductionsupporting

confidence: 84%

Section: Some Eigenproperties and Inequalitiessupporting

confidence: 66%

“…For other expansions, see [12,14,11]. Note that f n (X ), n ≥ 1, can be interpreted as principal components of the Bernoulli process X = {X t , t ∈ I }.…”

Section: Corollarymentioning

confidence: 99%

Section: Some Series Of Constantsmentioning

confidence: 99%

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Eigenanalysis on a bivariate covariance kernel

Cuadras

2008

Journal of Multivariate Analysis

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“…The main reasons for choosing a non-local hospital are shown in Figure 1, and their most unsatisfactory items are shown in Figure 2. Patient satisfaction was divided into lower and higher satisfaction groups according the 80/20 rule (also known as Pareto principle) 34. The 80/20 rule states that, for many events, roughly 80% of the effects come from 20% of the causes.…”

Section: Methodsmentioning

confidence: 99%

Factors affecting patient satisfaction with ecdemic medical care: a cross-sectional study in Nanchang, China

Liu

Lu²,

Wang³

et al. 2018

PPA

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PurposeThis study aimed to determine the factors that influence patient satisfaction with ecdemic medical care.Materials and methodsEight hundred and forty-four face-to-face interviews were conducted between October and November 2017 in two high-profile hospitals in Nanchang, China. Patient satisfaction was divided into lowest and highest satisfaction groups according the 80/20 rule. Demographic factors associated with patient satisfaction were identified by logistic regression models.ResultsRespondents’ main reasons for choosing a non-local hospital were “high level of medical treatment” (581/844), “good reputation of the hospital” (533/844), and “advanced medical equipment” (417/844). The top three items that dissatisfied the ecdemic patients were “long time to wait for treatment” (553/844), “complicated formalities” (307/844), and “poor overall service attitude” (288/844). Fewer female patients (adjusted odds ratio [AOR] =1.47, 95% confidence interval [CI] =1.03–2.11), patients with a family per-capita monthly income (FPMI) between 3,001 and 5,000 CNY (AOR =1.40, 95% CI =1.01–2.17), inpatients (AOR =1.46, 95% CI =1.01–2.13), and more patients with an FPMI >7,000 CNY (AOR =0.43, 95% CI =0.20–0.92) were detected in the lowest satisfaction group. Fewer patients with an associate’s or bachelor’s degree (AOR =2.40, 95% CI =1.37–4.20) and patients with an FPMI >7,000 CNY (AOR =3.02, 95% CI =1.10–8.33) were detected in the highest satisfaction group. Moreover, more inpatients (AOR =0.70, 95% CI =0.54–0.97) and those aged 46–65 years (AOR =0.63, 95% CI =0.33–0.98) were detected in the highest satisfaction group.ConclusionFindings suggested that managers of the medical facilities should note the importance of increasing their publicity through a rapidly developing media, as well as the necessity of creating a more patient-friendly medical care experience. Hospitals should also focus on the medical care experience of patients with relatively lower and higher income levels, male ecdemic patients, and ecdemic outpatients.

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Distance Based Association and Multi-Sample Tests for General Multivariate Data

Cuadras¹

2008

Advances in Mathematical and Statistical Modeling

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Principal directions of the general Pareto distribution with applications

Cited by 4 publications

References 20 publications

Eigenanalysis on a bivariate covariance kernel

Eigenanalysis on a bivariate covariance kernel

Factors affecting patient satisfaction with ecdemic medical care: a cross-sectional study in Nanchang, China

Distance Based Association and Multi-Sample Tests for General Multivariate Data

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