Some convergence properties for partial sums of widely orthant dependent random variables and their statistical applications
Sign Up to like & getrecommendations! Published in 2018 at "Statistical Papers"
DOI: 10.1007/s00362-018-0996-y
Abstract: In this paper, we present the $$L_p$$Lp convergence for partial sums $$S_n=\sum _{k=1}^nX_k$$Sn=∑k=1nXk under the Cesàro uniform integrability condition and the complete convergence for the maximum of $$S_n$$Sn for sequences of widely orthant dependent random… read more here.
Keywords: orthant dependent; random variables; widely orthant; dependent random ... See more keywords
Dynamic Relative Compression, Dynamic Partial Sums, and Substring Concatenation
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DOI: 10.1007/s00453-017-0380-7
Abstract: Given a static reference string R and a source string S, a relative compression of S with respect to R is an encoding of S as a sequence of references to substrings of R. Relative… read more here.
Keywords: compression; relative compression; compression dynamic; dynamic partial ... See more keywords
Infinite Paths on a Random Environment of $${\mathbb {Z}}^2$$Z2 with Bounded and Recurrent Sums
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DOI: 10.1007/s10955-019-02333-0
Abstract: This paper considers a random structure on the lattice $${\mathbb {Z}}^2$$Z2 of the following kind. To each edge e a random variable $$X_e$$Xe is assigned, together with a random sign $$Y_e \in \{-1,+1\}$$Ye∈{-1,+1}. For an… read more here.
Keywords: partial sums; random environment; infinite paths; mathbb ... See more keywords
About the conditional value at risk of partial sums
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DOI: 10.1016/j.crma.2017.10.008
Abstract: Abstract In this note, we give normal approximation results for the conditional value at risk (CVaR) of partial sums of random variables satisfying moment assumptions. These results are based on Berry–Esseen-type bounds for transport costs… read more here.
Keywords: partial sums; value risk; conditional value; risk partial ... See more keywords
Variations on criteria of Pólya and Turán for the Riemann hypothesis
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DOI: 10.1016/j.jnt.2021.01.004
Abstract: Abstract For 0 ≤ α ≤ 1 , let L α ( x ) = ∑ n ≤ x λ ( n ) n α , where λ ( n ) is the Liouville function.… read more here.
Keywords: hypothesis; riemann hypothesis; sign; quasi riemann ... See more keywords
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
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DOI: 10.1112/s0010437x21007351
Abstract: In this paper, we investigate the distribution of the maximum of partial sums of families of $m$-periodic complex-valued functions satisfying certain conditions. We obtain precise uniform estimates for the distribution function of this maximum in… read more here.
Keywords: distribution maximum; sums kloosterman; kloosterman sums; partial sums ... See more keywords
Subsequences of triangular partial sums of double fourier series on unbounded Vilenkin groups
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DOI: 10.2298/fil1811769g
Abstract: In 1987 Harris proved-among others-that for each 1 ≤ p < 2 there exists a two-dimensional function f ∈ Lp such that its triangular partial sums S2A f of Walsh-Fourier series does not converge almost… read more here.
Keywords: unbounded vilenkin; subsequences triangular; triangular partial; vilenkin groups ... See more keywords
Iterated Partial Sums of the k-Fibonacci Sequences
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DOI: 10.3390/axioms11100542
Abstract: In this paper, we find the sequence of partial sums of the k-Fibonacci sequence, say, Sk,n=∑j=1nFk,j, and then we find the sequence of partial sums of this new sequence, Sk,n2)=∑j=1nSk,j, and so on. The iterated… read more here.
Keywords: fibonacci numbers; sequence; sums fibonacci; iterated partial ... See more keywords
Partial Sums of the Normalized Le Roy-Type Mittag-Leffler Function
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DOI: 10.3390/axioms12050441
Abstract: Recently, some researchers determined lower bounds for the normalized version of some special functions to its sequence of partial sums, e.g., Struve and Dini functions, Wright functions and Miller–Ross functions. In this paper, we determine… read more here.
Keywords: roy type; mittag leffler; leffler function; type mittag ... See more keywords
Quasi-Hadamard Product and Partial Sums for Sakaguchi-Type Function Classes Involving q-Difference Operator
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DOI: 10.3390/sym14040709
Abstract: We create two Sakaguchi-type function classes that are starlike and convex with respect to their symmetric points, including a q-difference operator, which may have symmetric or assymetric properties, in the open unit disc. We first… read more here.
Keywords: sakaguchi type; difference operator; type function; function classes ... See more keywords