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Variance Functions with Meromorphic Means
A natural exponential family is characterized by a pair \((\Omega,V)\) where \(\Omega\), the mean domain, is an open interval in \(\mathbb{R}\) and \(V\) is the associated variance function, regarded as a function of the mean. The authors make a further contribution to the problem of characterizing the set of possible pairs \((\Omega,V)\), a question ...
Bar-Lev, Shaul K. +2 more
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In this paper, an asymptotic distribution of the estimator for the variance function of a compound periodic Poisson process with power function trend is discussed.
Muhammad Wiranadi Utama +2 more
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This research aimed to measure and analyze the impact of exchange rate shocks on some variables of the Iraqi economy during (1990-2022), because of the different effects of these shocks on the macroeconomic variables represented in money supply and ...
R. T. Al-Wasity, Hala A. Al-Attabi
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Some Limiting Laws in Non-Commutative Probability
In this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions.
Ayed. R. A. Alanzi +2 more
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On
The concept of the (T=(s,t))-transformation of probability measures, introduced for s>0 and t∈R, is examined in this work from the perspective of Cauchy–Stieltjes kernel (CSK) families and their related variance functions (VFs).
Shokrya S. Alshqaq +2 more
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Tauber Theory for Infinitely Divisible Variance Functions [PDF]
The authors present a kind of Tauber theory for infinitely divisible natural exponential families. The main result states that the variance function of a family is regularly varying if and only if the spectral measure in the Lévy-Khinchin representation is regularly varying. A complete proof of this result is given elsewhere.
Bent Jørgensen +3 more
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Notes on the Free Additive Convolution
The investigation of free additive convolution is a key concept in free probability theory, offering a framework for studying the sum of freely independent random variables.
Shokrya S. Alshqaq +2 more
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Studies on the Marchenko–Pastur Law
In free probability, the theory of Cauchy–Stieltjes Kernel (CSK) families has recently been introduced. This theory is about a set of probability measures defined using the Cauchy kernel similarly to natural exponential families in classical probability ...
Ayed. R. A. Alanzi +3 more
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Some Results on the Free Poisson Distribution
Let K+(μi)={Qsiμi,si∈(m0μi,m+μi)}, i=1,2, be two CSK families generated by the nondegenerate probability measures μ1 and μ2 with support bounded from above.
Ayed. R. A. Alanzi +3 more
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ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar +8 more
wiley +1 more source

