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Journal articles on the topic 'Moment Sequences (Mathematics)'

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Published: 4 June 2021
Last updated: 7 September 2023

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1

Cioranescu, Ioana. "Moment sequences for ultradistributions." Mathematische Zeitschrift 204, no. 1 (December 1990): 391–400. http://dx.doi.org/10.1007/bf02570882.

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2

Bisgaard, Torben Maack. "Stieltjes moment sequences and positive definite matrix sequences." Proceedings of the American Mathematical Society 126, no. 11 (1998): 3227–37. http://dx.doi.org/10.1090/s0002-9939-98-04373-1.

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3

Hansen, B. G., and F. W. Steutel. "On moment sequences and infinitely divisible sequences." Journal of Mathematical Analysis and Applications 136, no. 1 (November 1988): 304–13. http://dx.doi.org/10.1016/0022-247x(88)90133-3.

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4

Wang, Yi, and Bao-Xuan Zhu. "Log-convex and Stieltjes moment sequences." Advances in Applied Mathematics 81 (October 2016): 115–27. http://dx.doi.org/10.1016/j.aam.2016.06.008.

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5

Bennett, Grahame. "Hausdorff means and moment sequences." Positivity 15, no. 1 (February 10, 2010): 17–48. http://dx.doi.org/10.1007/s11117-009-0039-y.

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6

Choi, Hayoung, Yeong-Nan Yeh, and Seonguk Yoo. "Catalan-like number sequences and Hausdorff moment sequences." Discrete Mathematics 343, no. 5 (May 2020): 111808. http://dx.doi.org/10.1016/j.disc.2019.111808.

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7

Berg, Christian. "On powers of Stieltjes moment sequences, II." Journal of Computational and Applied Mathematics 199, no. 1 (February 2007): 23–38. http://dx.doi.org/10.1016/j.cam.2005.04.072.

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8

Liu, Jian-Guo, and Robert L. Pego. "On generating functions of Hausdorff moment sequences." Transactions of the American Mathematical Society 368, no. 12 (February 2, 2016): 8499–518. http://dx.doi.org/10.1090/tran/6618.

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9

Reza, Md Ramiz, and Genkai Zhang. "Hausdorff Moment Sequences Induced by Rational Functions." Complex Analysis and Operator Theory 13, no. 8 (August 19, 2019): 4117–42. http://dx.doi.org/10.1007/s11785-019-00952-9.

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10

Vati, Kedumetse, and László Székelyhidi. "Moment functions on hypergroup joins." Advances in Pure and Applied Mathematics 10, no. 3 (July 1, 2019): 215–20. http://dx.doi.org/10.1515/apam-2018-0027.

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Abstract Moment functions play a basic role in probability theory. A natural generalization can be defined on hypergroups which leads to the concept of generalized moment function sequences. In a former paper we studied some function classes on hypergroup joins which play a basic role in spectral synthesis. Moment functions are also important basic blocks of spectral synthesis. All these functions can be characterized by well-known functional equations. In this paper we describe generalized moment function sequences on hypergroup joins.
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11

Vinuesa, Jaime, and Rafael Guadalupe. "Bi-Positive Sequences the Bilateral Moment Problem." Canadian Mathematical Bulletin 29, no. 4 (December 1, 1986): 456–62. http://dx.doi.org/10.4153/cmb-1986-072-8.

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AbstractWe pose a “moment problem” in a more general setting than the classical one. Then we find a necessary and sufficient condition for a sequence to have a solution of the “problem“where σ is a “distribution function”.
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12

Merkes, E. P., and Marion Wetzel. "Backward Extensions and Strong Hamburger Moment Sequences." Rocky Mountain Journal of Mathematics 22, no. 1 (March 1992): 245–64. http://dx.doi.org/10.1216/rmjm/1181072809.

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13

Vasilescu, F. H. "Moment Problems for Multi-sequences of Operators." Journal of Mathematical Analysis and Applications 219, no. 2 (March 1998): 246–59. http://dx.doi.org/10.1006/jmaa.1997.5787.

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14

Berg, Christian, and Antonio J. Durán. "Some Transformations of Hausdorff Moment Sequences and Harmonic Numbers." Canadian Journal of Mathematics 57, no. 5 (October 1, 2005): 941–60. http://dx.doi.org/10.4153/cjm-2005-036-8.

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AbstractWe introduce some non-linear transformations from the set of Hausdorff moment sequences into itself; among them is the one defined by the formula: . We give some examples of Hausdorff moment sequences arising from the transformations and provide the corresponding measures: one of these sequences is the reciprocal of the harmonic numbers .
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15

Dyachenko, Alexander. "Rigidity of the Hamburger and Stieltjes Moment Sequences." Constructive Approximation 51, no. 3 (June 25, 2019): 441–63. http://dx.doi.org/10.1007/s00365-019-09469-y.

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16

Berg, Christian, and Antonio J. Durán. "A transformation from Hausdorff to Stieltjes moment sequences." Arkiv för Matematik 42, no. 2 (October 2004): 239–57. http://dx.doi.org/10.1007/bf02385478.

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17

Hu, Feng. "Moment bounds for IID sequences under sublinear expectations." Science China Mathematics 54, no. 10 (August 4, 2011): 2155–60. http://dx.doi.org/10.1007/s11425-011-4272-z.

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18

Sokal, Alan D. "The Euler and Springer numbers as moment sequences." Expositiones Mathematicae 38, no. 1 (March 2020): 1–26. http://dx.doi.org/10.1016/j.exmath.2018.08.001.

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19

Sasvári, Zoltán, and Э. Щащвари. "Determinants, sums involving binomial coefficients, and moment sequences." Analysis Mathematica 25, no. 1 (December 1999): 133–46. http://dx.doi.org/10.1007/bf02908430.

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20

Bisgaard, Torben Maack. "On the Growth of Positive Definite Double Sequences Which Are not Moment Sequences." Mathematische Nachrichten 210, no. 1 (February 2000): 67–83. http://dx.doi.org/10.1002/(sici)1522-2616(200002)210:1<67::aid-mana67>3.0.co;2-n.

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21

Roth, Oliver, Stephan Ruscheweyh, and Luis Salinas. "A note on generating functions for Hausdorff moment sequences." Proceedings of the American Mathematical Society 136, no. 09 (April 30, 2008): 3171–76. http://dx.doi.org/10.1090/s0002-9939-08-09460-4.

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22

Bürgin, Vincent, Jeremias Epperlein, and Fabian Wirth. "Remarks on the tail order on moment sequences." Journal of Mathematical Analysis and Applications 512, no. 1 (August 2022): 126135. http://dx.doi.org/10.1016/j.jmaa.2022.126135.

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23

Liang, Huyile, Lili Mu, and Yi Wang. "Catalan-like numbers and Stieltjes moment sequences." Discrete Mathematics 339, no. 2 (February 2016): 484–88. http://dx.doi.org/10.1016/j.disc.2015.09.012.

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24

Sun, Peiyu, Dehui Wang, and Xili Tan. "Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space." Mathematics 11, no. 16 (August 13, 2023): 3494. http://dx.doi.org/10.3390/math11163494.

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We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space. Using moment inequality and truncation methods, we prove the equivalent conditions of complete convergence for weighted sums of sequences of ND random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space.
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25

Fu, Ke-Ang, and Li-Hua Hu. "MOMENT CONVERGENCE RATES OF LIL FOR NEGATIVELY ASSOCIATED SEQUENCES." Journal of the Korean Mathematical Society 47, no. 2 (March 1, 2010): 263–75. http://dx.doi.org/10.4134/jkms.2010.47.2.263.

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26

Su, Chun, Lincheng Zhao, and Yuebao Wang. "Moment inequalities and weak convergence for negatively associated sequences." Science in China Series A: Mathematics 40, no. 2 (February 1997): 172–82. http://dx.doi.org/10.1007/bf02874436.

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27

Hoover, Thomas, Il Bong Jung, and Alan Lambert. "Moment sequences and backward extensions of subnormal weighted shifts." Journal of the Australian Mathematical Society 73, no. 1 (August 2002): 27–36. http://dx.doi.org/10.1017/s1446788700008454.

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AbstractIn this note we examine the relationships between a subnormal shift, the measure its moment sequence generates, and those of a large family of weighted shifts associated with the original shift. We examine the effects on subnormality of adding a new weight or changing a weight. We also obtain formulas for evaluating point mass at the origin for the measure associated with the shift. In addition, we examine the relationship between the measure associated with a subnormal shift and those of a family of shifts substantially different from the original shift.
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28

Cichoń, Dariusz, Jan Stochel, and Franciszek Hugon Szafraniec. "The complex moment problem: determinacy and extendibility." MATHEMATICA SCANDINAVICA 124, no. 2 (June 17, 2019): 263–88. http://dx.doi.org/10.7146/math.scand.a-112091.

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Complex moment sequences are exactly those which admit positive definite extensions on the integer lattice points of the upper diagonal half-plane. Here we prove that the aforesaid extension is unique provided the complex moment sequence is determinate and its only representing measure has no atom at $0$. The question of converting the relation is posed as an open problem. A partial solution to this problem is established when at least one of representing measures is supported in a plane algebraic curve whose intersection with every straight line passing through $0$ is at most one point set. Further study concerns representing measures whose supports are Zariski dense in $\mathbb{C} $ as well as complex moment sequences which are constant on a family of parallel “Diophantine lines”. All this is supported by a bunch of illustrative examples.
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29

Kim, Tae Yoon. "Moment bounds for non-stationary dependent sequences." Journal of Applied Probability 31, no. 3 (September 1994): 731–42. http://dx.doi.org/10.2307/3215151.

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We provide a unified approach for establishing even-moment bounds for partial sums for a class of weakly dependent random variables satisfying a stationarity condition. As applications, we discuss moment bounds for various types of mixing sequences. To obtain even-moment bounds, we use a ‘combinatorial argument' developed by Cox and Kim (1990).
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30

Kim, Tae Yoon. "Moment bounds for non-stationary dependent sequences." Journal of Applied Probability 31, no. 03 (September 1994): 731–42. http://dx.doi.org/10.1017/s0021900200045290.

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We provide a unified approach for establishing even-moment bounds for partial sums for a class of weakly dependent random variables satisfying a stationarity condition. As applications, we discuss moment bounds for various types of mixing sequences. To obtain even-moment bounds, we use a ‘combinatorial argument' developed by Cox and Kim (1990).
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31

Hu, Tien-Chung, and N. C. Weber. "On the rate of convergence in the strong law of large numbers for arrays." Bulletin of the Australian Mathematical Society 45, no. 3 (June 1992): 479–82. http://dx.doi.org/10.1017/s0004972700030379.

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For sequences of independent and identically distributed random variables it is well known that the existence of the second moment implies the law of the iterated logarithm. We show that the law of the iterated logarithm does not extend to arrays of independent and identically distributed random variables and we develop an analogous rate result for such arrays under finite fourth moments.
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32

Berg, Christian. "On Powers of Stieltjes Moment Sequences, I." Journal of Theoretical Probability 18, no. 4 (October 2005): 871–89. http://dx.doi.org/10.1007/s10959-005-7530-6.

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33

Stoica, George. "Davis-type theorems for martingale difference sequences." Journal of Applied Mathematics and Stochastic Analysis 2005, no. 2 (January 1, 2005): 159–65. http://dx.doi.org/10.1155/jamsa.2005.159.

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We study Davis-type theorems on the optimal rate of convergence of moderate deviation probabilities. In the case of martingale difference sequences, under the finite pth moments hypothesis (1≤p<∞), and depending on the normalization factor, our results show that Davis' theorems either hold if and only if p>2 or fail for all p≥1. This is in sharp contrast with the classical case of i.i.d. centered sequences, where both Davis' theorems hold under the finite second moment hypothesis (or less).
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34

Xiao, Juan, and De-hua Qiu. "On the convergence for PNQD sequences with general moment conditions." Applied Mathematics-A Journal of Chinese Universities 35, no. 2 (June 2020): 184–92. http://dx.doi.org/10.1007/s11766-020-3480-0.

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35

Fritzsche, Bernd, Bernd Kirstein, and Conrad Mädler. "Schur analysis of matricial Hausdorff moment sequences." Linear Algebra and its Applications 590 (April 2020): 133–209. http://dx.doi.org/10.1016/j.laa.2019.12.027.

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36

Sokal, Alan D. "Wall’s continued-fraction characterization of Hausdorff moment sequences: A conceptual proof." Proceedings of the American Mathematical Society 148, no. 5 (January 29, 2020): 2111–16. http://dx.doi.org/10.1090/proc/14884.

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37

Wu, Libin, and Bainian Li. "Strong Limit Theorems for Dependent Random Variables." International Journal of Mathematical Models and Methods in Applied Sciences 15 (March 26, 2021): 15–17. http://dx.doi.org/10.46300/9101.2021.15.3.

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In this article We establish moment inequality of dependent random variables, furthermore some theorems of strong law of large numbers and complete convergence for sequences of dependent random variables. In particular, independent and identically distributed Marcinkiewicz Law of large numbers are generalized to the case of m₀ -dependent sequences.
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38

BEN TAHER, R., M. RACHIDI, and E. H. ZEROUALI. "RECURSIVE SUBNORMAL COMPLETION AND THE TRUNCATED MOMENT PROBLEM." Bulletin of the London Mathematical Society 33, no. 4 (July 2001): 425–32. http://dx.doi.org/10.1017/s0024609301008116.

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The aim of this paper is to study properties of sequences that are recursively defined by a linear equation and their applications to the truncated moment problem in connection with the problem of subnormal completion of the truncated weighted shifts. Special cases are considered and some classical results due to Stampfli, Curto and Fialkow are recovered using elementary techniques.
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39

Zhao, Yuexu. "Precise rates in complete moment convergence for ρ-mixing sequences." Journal of Mathematical Analysis and Applications 339, no. 1 (March 2008): 553–65. http://dx.doi.org/10.1016/j.jmaa.2007.06.070.

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40

Ding, Yang, Xufei Tang, Xin Deng, and Xuejun Wang. "Complete moment convergence forweighted sums of extended negatively dependent random variables." Filomat 31, no. 14 (2017): 4341–52. http://dx.doi.org/10.2298/fil1714341d.

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In this paper, the complete moment convergence for the weighted sums of extended negatively dependent (END, in short) random variables is investigated. Some general conditions to prove the complete moment convergence are provided. The results obtained in the paper generalize and improve the corresponding ones for some dependent sequences.
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41

Brezinski, C., and M. Raydan. "Cauchy–Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences." Advances in Computational Mathematics 26, no. 1-3 (December 6, 2006): 71–80. http://dx.doi.org/10.1007/s10444-004-7646-8.

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42

Yang, Shan Chao. "Maximal Moment Inequality for Partial Sums of Strong Mixing Sequences and Application." Acta Mathematica Sinica, English Series 23, no. 6 (September 30, 2006): 1013–24. http://dx.doi.org/10.1007/s10114-005-0841-9.

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43

Keyantuo, Valentin, Claus Müller, and Peter Vieten. "FINITE AND LOCAL LAPLACE TRANSFORMS IN BANACH SPACES." Proceedings of the Edinburgh Mathematical Society 46, no. 2 (June 2003): 357–72. http://dx.doi.org/10.1017/s0013091501001092.

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AbstractWe establish two characterizations of local Laplace transforms in Banach spaces. The first result follows the classic approach of Widder, while the second is in terms of vector-valued moment sequences. As a consequence, we derive characterizations of nilpotent semigroups.AMS 2000 Mathematics subject classification: Primary 44A10; 47D03
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44

Skibinsky, Morris. "Principal representations and canonical moment sequences for distributions on an interval." Journal of Mathematical Analysis and Applications 120, no. 1 (November 1986): 95–118. http://dx.doi.org/10.1016/0022-247x(86)90207-6.

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45

Fu, Ke-Ang, and Xiao-Rong Yang. "Moment convergence rates in the law of the logarithm for dependent sequences." Proceedings - Mathematical Sciences 119, no. 3 (June 2009): 387–400. http://dx.doi.org/10.1007/s12044-009-0034-z.

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46

Youssfi, E. H. "Indefinite sequences with a finite order singularity in the complex moment problem." Mathematische Annalen 293, no. 1 (December 1992): 729–47. http://dx.doi.org/10.1007/bf01444742.

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47

Bishop, Jessica Pierson. "“She's Always Been the Smart One. I've Always Been the Dumb One”: Identities in the Mathematics Classroom." Journal for Research in Mathematics Education 43, no. 1 (January 2012): 34–74. http://dx.doi.org/10.5951/jresematheduc.43.1.0034.

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The moment-to-moment dynamics of student discourse plays a large role in students' enacted mathematics identities. Discourse analysis was used to describe meaningful discursive patterns in the interactions of 2 students in a 7th-grade, technology-based, curricular unit (SimCalc MathWorlds®) and to show how mathematics identities are enacted at the microlevel. Frameworks were theoretically and empirically connected to identity to characterize the participants' relative positioning and the structural patterns in their discourse (e.g., who talks, who initiates sequences, whose ideas are taken up and publicly recognized). Data indicated that students' peer-to-peer discourse patterns explained the enactment of differing mathematics identities within the same local context. Thus, the ways people talk and interact are powerful influences on who they are, and can become, with respect to mathematics.
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48

Yılmaz, Övgü, Murat Bodur, and Ali Aral. "On approximation properties of Baskakov-Schurer-Szász operators preserving exponential functions." Filomat 32, no. 15 (2018): 5433–40. http://dx.doi.org/10.2298/fil1815433y.

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The goal of this paper is to construct a general class of operators which has known Baskakov-Schurer-Sz?sz that preserving constant and e2ax, a > 0 functions. Also, we demonstrate the fact that for these operators, moments can be obtained using the concept of moment generating function. Furthermore, we investigate a uniform convergence result and a quantitative estimate in consideration of given operator, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Schurer-Sz?sz operators and the recent sequence, too.
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49

Isaac, Richard. "Rates of convergence for renewal sequences in the null-recurrent case." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 45, no. 3 (December 1988): 381–88. http://dx.doi.org/10.1017/s1446788700031098.

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AbstractMotivated by work of Garsia and Lamperti we consider null-recurrent renewal sequences with a regularly varying tail and seek information about their rate of convergence to zero. The main result shows that such sequences subject to a monotonicity condition obey a limit law whatever the value of the exponent α is, 0 < α < 1. This monotonicity property is seen to hold for a large class of renewal sequences, the so-called Kaluza sequences. This class includes moment sequences, and therefore includes the sequences generated by reversible Markov chains. Several subsidiary results are proved.
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50

Xiao, Xiao-Yong, Hong-Wei Yin, and Cha-Hua Ye. "Precise rates of the first moment convergence in the LIL for NA sequences." Mathematische Nachrichten 287, no. 17-18 (June 27, 2014): 2138–49. http://dx.doi.org/10.1002/mana.201200056.

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