Discrete Mathematics, ISSN 0012-365X, 07/2019, Volume 342, Issue 7, pp. 2139 - 2147

.... Besides, any positive real power of the sequence is still a Stieltjes determinate sequence...

Catalan number sequence | Stieltjes determinate sequences | Bernstein functions | Fuss–Catalan number sequence | Stieltjes moment sequences | Double factorial number sequence | MATHEMATICS | HAUSDORFF | DENSITIES | Fuss-Catalan number sequence | Mathematics - Combinatorics

Catalan number sequence | Stieltjes determinate sequences | Bernstein functions | Fuss–Catalan number sequence | Stieltjes moment sequences | Double factorial number sequence | MATHEMATICS | HAUSDORFF | DENSITIES | Fuss-Catalan number sequence | Mathematics - Combinatorics

Journal Article

Bernoulli, ISSN 1350-7265, 10/2000, Volume 6, Issue 5, pp. 939 - 949

In 1944 M.G. Krein proposed a condition throwing light on the moment problem for absolutely continuous probability distributions. This condition, implying...

Integers | Gaussian distributions | Probability distributions | Determinacy | Probability theory | Uniqueness | Cubes | Mathematical moments | Real lines | Powers of distributions | Moment sequence | Lin condition | Determinate probability distributions | Hamburger moment problem; indeterminate probability distributions | Krein condition | Stieltjes moment problem | moment sequence | INDETERMINATE | DISTRIBUTIONS | powers of distributions | determinate probability distributions | STATISTICS & PROBABILITY | Hamburger moment problem | indeterminate probability distributions

Integers | Gaussian distributions | Probability distributions | Determinacy | Probability theory | Uniqueness | Cubes | Mathematical moments | Real lines | Powers of distributions | Moment sequence | Lin condition | Determinate probability distributions | Hamburger moment problem; indeterminate probability distributions | Krein condition | Stieltjes moment problem | moment sequence | INDETERMINATE | DISTRIBUTIONS | powers of distributions | determinate probability distributions | STATISTICS & PROBABILITY | Hamburger moment problem | indeterminate probability distributions

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 2010, Volume 80, Issue 9, pp. 792 - 796

... , … , X n is moment-indeterminate if and only if n ≥ 3 . This and other complex analytic results concerning Stieltjes moment sequences and properties...

Stieltjes problem of moments | [formula omitted]-determinate distribution | Product of exponential random variables | [formula omitted]-indeterminate distribution | M-determinate distribution | M-indeterminate distribution | PROBABILITY-DISTRIBUTIONS | STATISTICS & PROBABILITY | STIELTJES CLASSES | POWERS | Product of exponential random variables Stieltjes problem of moments M-determinate distribution M-indeterminate distribution

Stieltjes problem of moments | [formula omitted]-determinate distribution | Product of exponential random variables | [formula omitted]-indeterminate distribution | M-determinate distribution | M-indeterminate distribution | PROBABILITY-DISTRIBUTIONS | STATISTICS & PROBABILITY | STIELTJES CLASSES | POWERS | Product of exponential random variables Stieltjes problem of moments M-determinate distribution M-indeterminate distribution

Journal Article

Advances in Mathematics, ISSN 0001-8708, 04/2017, Volume 310, pp. 484 - 556

A recent example of a non-hyponormal injective composition operator in an L2-space generating Stieltjes moment sequences, invented by three of the present authors, was built over a non-locally finite directed tree...

Consistency condition | Subnormal operator | Hamburger and Stieltjes moment sequences | Graphs induced by self-maps | Operator generating Stieltjes moment sequences | Composition operator | MATHEMATICS | WEIGHTED SHIFTS | NORMAL EXTENSIONS | DENSITY PROBLEM | SELF-COMMUTATORS

Consistency condition | Subnormal operator | Hamburger and Stieltjes moment sequences | Graphs induced by self-maps | Operator generating Stieltjes moment sequences | Composition operator | MATHEMATICS | WEIGHTED SHIFTS | NORMAL EXTENSIONS | DENSITY PROBLEM | SELF-COMMUTATORS

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2012, Volume 394, Issue 2, pp. 819 - 834

.... An approach to this issue via consistent systems of probability measures is invented. The role played by determinate Stieltjes moment sequences is elucidated...

Directed tree | Weighted shift on a directed tree | Subnormal operator | Stieltjes moment sequence | MATHEMATICS | MATHEMATICS, APPLIED | MOMENT PROBLEM | NORMAL EXTENSIONS | DENSITY PROBLEM | SELF-COMMUTATORS | OPERATORS

Directed tree | Weighted shift on a directed tree | Subnormal operator | Stieltjes moment sequence | MATHEMATICS | MATHEMATICS, APPLIED | MOMENT PROBLEM | NORMAL EXTENSIONS | DENSITY PROBLEM | SELF-COMMUTATORS | OPERATORS

Journal Article

PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, ISSN 0208-4147, 2019, Volume 39, Issue 2, pp. 441 - 458

We prove that s(n) (a, b) = Gamma(an + b) /Gamma(b), n = 0, 1, ..., is an infinitely divisible Stieltjes moment sequence for arbitrary a, b > 0. Its powers s(n) (a, b)(c), c...

STIELTJES MOMENT SEQUENCES | DETERMINACY | Gumbel distribution | STATISTICS & PROBABILITY | product convolution semigroup | POWERS | Infinitely divisible Stieltjes moment sequence | FUNCTIONALS | asymptotic approximation of integrals

STIELTJES MOMENT SEQUENCES | DETERMINACY | Gumbel distribution | STATISTICS & PROBABILITY | product convolution semigroup | POWERS | Infinitely divisible Stieltjes moment sequence | FUNCTIONALS | asymptotic approximation of integrals

Journal Article

Symmetry, integrability and geometry, methods and applications, ISSN 1815-0659, 05/2016, Volume 12

This paper aims to clarify certain aspects of the relations between birth-death processes, measures solving a Stieltjes moment problem, and sets of parameters defining polynomial sequences...

METIS-316926 | IR-100431 | Shell polynomials | Similar birth-death processes | Birth-death processes | EWI-27013 | Orthogonal polynomials | Dual birth-death processes | MSC-60J80 | Stieltjes moment problem | MSC-44A60 | MSC-42C05 | polynomials | shell | similar birth-death processes | INDETERMINATE MOMENT PROBLEMS | birth-death processes | PHYSICS, MATHEMATICAL | dual birth-death processes | orthogonal polynomials

METIS-316926 | IR-100431 | Shell polynomials | Similar birth-death processes | Birth-death processes | EWI-27013 | Orthogonal polynomials | Dual birth-death processes | MSC-60J80 | Stieltjes moment problem | MSC-44A60 | MSC-42C05 | polynomials | shell | similar birth-death processes | INDETERMINATE MOMENT PROBLEMS | birth-death processes | PHYSICS, MATHEMATICAL | dual birth-death processes | orthogonal polynomials

Journal Article

8.
Full Text
Entropy convergence of finite moment approximations in Hamburger and Stieltjes problems

Statistics and Probability Letters, ISSN 0167-7152, 01/2017, Volume 120, pp. 114 - 117

The Hamburger and Stieltjes moment problem and the sequence of maximum entropy (MaxEnt) approximates with given moments are considered...

Hankel matrix | Entropy convergence | Hamburger and Stieltjes moment problem | Moments | Density | Maximum entropy | STATISTICS & PROBABILITY

Hankel matrix | Entropy convergence | Hamburger and Stieltjes moment problem | Moments | Density | Maximum entropy | STATISTICS & PROBABILITY

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 03/2019, Volume 146, pp. 118 - 123

The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly infinite families of probability densities with the same sequence of moments...

[formula omitted]-moment (in)determinacy | [formula omitted]-moment | Analytic function | [formula omitted]-distribution | [formula omitted]-density | [formula omitted]-Stieltjes class | q-moment | q-density | q-Stieltjes class | q-distribution | q-moment (in)determinacy | STATISTICS & PROBABILITY

[formula omitted]-moment (in)determinacy | [formula omitted]-moment | Analytic function | [formula omitted]-distribution | [formula omitted]-density | [formula omitted]-Stieltjes class | q-moment | q-density | q-Stieltjes class | q-distribution | q-moment (in)determinacy | STATISTICS & PROBABILITY

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/1998, Volume 126, Issue 11, pp. 3227 - 3237

...(n)^2\leq\delta f(n-1)f(n+1), n\in\N, is a Stieltjes indeterminate Stieltjes moment sequence...

Eigenvalues | Semigroups | Mathematical constants | Mathematical sequences | Mathematical moments | Mathematical functions | Convolution semigroup | Positive definite | Moment sequence | Positive type | Indeterminate | Stieltjes moment sequence | moment sequence | MATHEMATICS | MATHEMATICS, APPLIED | positive type | convolution semigroup | indeterminate | positive definite

Eigenvalues | Semigroups | Mathematical constants | Mathematical sequences | Mathematical moments | Mathematical functions | Convolution semigroup | Positive definite | Moment sequence | Positive type | Indeterminate | Stieltjes moment sequence | moment sequence | MATHEMATICS | MATHEMATICS, APPLIED | positive type | convolution semigroup | indeterminate | positive definite

Journal Article

Integral equations and operator theory, ISSN 1420-8989, 2018, Volume 90, Issue 6, pp. 1 - 36

.... We give several characterizations of when such a completion is possible. Considered also are connections with Stieltjes moment sequences, flatness of a completion...

Subnormal operator | Weighted shift on a directed tree | 47B37 | Analysis | Primary 47B20 | Subnormal completion problem | Secondary 05C20 | Mathematics | 44A60 | Flatness | Stieltjes moment sequence | MATHEMATICS

Subnormal operator | Weighted shift on a directed tree | 47B37 | Analysis | Primary 47B20 | Subnormal completion problem | Secondary 05C20 | Mathematics | 44A60 | Flatness | Stieltjes moment sequence | MATHEMATICS

Journal Article

Statistical Papers, ISSN 0932-5026, 11/2013, Volume 54, Issue 4, pp. 1121 - 1130

.... This paper explores a probabilistic property of the Benini distribution, showing that it is not determined by the sequence of its moments although all the moments are finite...

Probability Theory and Stochastic Processes | Statistics | 44A60 | Income distribution | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Statistical distributions | Characterization of distributions | Stieltjes class | 62E10 | Economic Theory | Moment problem | Benini distribution | 60E05 | PROBABILITY-DISTRIBUTIONS | STATISTICS & PROBABILITY | STIELTJES CLASSES | Analysis | Personal income | Studies | Statistical analysis | Normal distribution | Economics | Size distribution | Mathematical analysis | Probability theory | Income | Pareto optimality | Paper | Probabilistic methods

Probability Theory and Stochastic Processes | Statistics | 44A60 | Income distribution | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Statistical distributions | Characterization of distributions | Stieltjes class | 62E10 | Economic Theory | Moment problem | Benini distribution | 60E05 | PROBABILITY-DISTRIBUTIONS | STATISTICS & PROBABILITY | STIELTJES CLASSES | Analysis | Personal income | Studies | Statistical analysis | Normal distribution | Economics | Size distribution | Mathematical analysis | Probability theory | Income | Pareto optimality | Paper | Probabilistic methods

Journal Article

Journal of statistical distributions and applications, ISSN 2195-5832, 2017, Volume 4, Issue 1, pp. 1 - 17

We consider univariate distributions with finite moments of all positive orders. The moment problem is to determine whether or not a given distribution is uniquely determined by the sequence of its moments...

Statistics and Computing/Statistics Programs | Carleman’s condition | Science, Humanities and Social Sciences, multidisciplinary | Statistical Theory and Methods | Hardy’s condition | Stieltjes moment problem | Cramér’s condition | Statistics | Hamburger moment problem | 44A60 | Krein’s condition | 60E05 | Independent variables | Random variables | Criteria | Mathematics - Probability

Statistics and Computing/Statistics Programs | Carleman’s condition | Science, Humanities and Social Sciences, multidisciplinary | Statistical Theory and Methods | Hardy’s condition | Stieltjes moment problem | Cramér’s condition | Statistics | Hamburger moment problem | 44A60 | Krein’s condition | 60E05 | Independent variables | Random variables | Criteria | Mathematics - Probability

Journal Article

Journal of Mathematical Sciences, ISSN 1072-3374, 11/2017, Volume 227, Issue 1, pp. 33 - 67

...: Given κ, k ϵ ℤ+, and a sequence s = s i i = 0 ∞ $$ \mathbf{s}={\left\{{s}_i\right\}}_{i=0}^{\infty } $$ of real numbers, to describe the set of functions f...

generalized Stieltjes fraction | boundary triple | Indefinite Stieltjes moment problem | generalized Stieltjes function | Mathematics, general | Weyl function | Mathematics | resolvent matrix

generalized Stieltjes fraction | boundary triple | Indefinite Stieltjes moment problem | generalized Stieltjes function | Mathematics, general | Weyl function | Mathematics | resolvent matrix

Journal Article

Acta Applicandae Mathematicae, ISSN 0167-8019, 3/2001, Volume 66, Issue 1, pp. 1 - 24

... }} - \frac{{a_2^2 |}}{{|{\lambda } - b_3 }} - \cdots ,$$ where {a n }, {b n } are real sequences with a n >0...

moment problem | Mathematical and Computational Physics | associated continued fractions | Mechanics | Mathematics, general | Mathematics | Computer Science, general | tridiagonal operators | Green function | Statistical Physics | orthogonal polynomials | Stieltjes transform | Associated continued fractions | Moment problem | Tridiagonal operators | Orthogonal polynomials | POLYNOMIALS | MATHEMATICS, APPLIED | APPROXIMATIONS | THEOREM | Studies | Mathematical models | Convergence

moment problem | Mathematical and Computational Physics | associated continued fractions | Mechanics | Mathematics, general | Mathematics | Computer Science, general | tridiagonal operators | Green function | Statistical Physics | orthogonal polynomials | Stieltjes transform | Associated continued fractions | Moment problem | Tridiagonal operators | Orthogonal polynomials | POLYNOMIALS | MATHEMATICS, APPLIED | APPROXIMATIONS | THEOREM | Studies | Mathematical models | Convergence

Journal Article

Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 4/2011, Volume 63, Issue 2, pp. 291 - 303

We treat the identifiability problem for mixtures involving power series distributions. Applying an idea of Sapatinas (Ann Inst Stat Math 47:447–459, 1995) we...

Non-uniqueness | Identifiability | Statistics for Business/Economics/Mathematical Finance/Insurance | Uniqueness | Stieltjes problem of moments | Power series distributions | Statistics, general | Non-identifiability | Mixtures of distributions | Statistics | CRITERIA | INDETERMINATE PROBABILITY-DISTRIBUTIONS | STATISTICS & PROBABILITY | STIELTJES CLASSES | Studies | Normal distribution | Mathematical analysis | Generalized method of moments | Mathematical models | Power series | Electric power distribution

Non-uniqueness | Identifiability | Statistics for Business/Economics/Mathematical Finance/Insurance | Uniqueness | Stieltjes problem of moments | Power series distributions | Statistics, general | Non-identifiability | Mixtures of distributions | Statistics | CRITERIA | INDETERMINATE PROBABILITY-DISTRIBUTIONS | STATISTICS & PROBABILITY | STIELTJES CLASSES | Studies | Normal distribution | Mathematical analysis | Generalized method of moments | Mathematical models | Power series | Electric power distribution

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 2/2016, Volume 39, Issue 2, pp. 271 - 289

We derive Mehler–Heine type asymptotic formulas for Charlier and Meixner polynomials, and also for their associated families. These formulas provide good...

Associated polynomials | Stieltjes transforms | 33A15 | Functions of a Complex Variable | Secondary 33A65 | Field Theory and Polynomials | Mathematics | Discrete orthogonal polynomials | 44A15 | Fourier Analysis | Primary 41A30 | Number Theory | Mehler–Heine formulas | Combinatorics | Mehler-Heine formulas | 4TH-ORDER DIFFERENCE EQUATION | MATHEMATICS | RESPECT | MOMENT PROBLEMS | UNIFORM ASYMPTOTIC EXPANSIONS | ORTHOGONAL POLYNOMIALS | BIRTH | GLOBAL ASYMPTOTICS | ZEROS

Associated polynomials | Stieltjes transforms | 33A15 | Functions of a Complex Variable | Secondary 33A65 | Field Theory and Polynomials | Mathematics | Discrete orthogonal polynomials | 44A15 | Fourier Analysis | Primary 41A30 | Number Theory | Mehler–Heine formulas | Combinatorics | Mehler-Heine formulas | 4TH-ORDER DIFFERENCE EQUATION | MATHEMATICS | RESPECT | MOMENT PROBLEMS | UNIFORM ASYMPTOTIC EXPANSIONS | ORTHOGONAL POLYNOMIALS | BIRTH | GLOBAL ASYMPTOTICS | ZEROS

Journal Article

The Ramanujan journal, ISSN 1572-9303, 2013, Volume 33, Issue 2, pp. 157 - 195

We construct new elliptic solutions of the restricted Toda chain. These solutions give rise to a new explicit class of orthogonal polynomials, which can be...

33C47 | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | 33E05 | 37K10 | Toda chain | Fourier Analysis | Orthogonal polynomials | Stieltjes–Carlitz polynomials | Number Theory | Elliptic functions | Combinatorics | Stieltjes-Carlitz polynomials | MATHEMATICS | POISSON-DARBOUX EQUATION

33C47 | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | 33E05 | 37K10 | Toda chain | Fourier Analysis | Orthogonal polynomials | Stieltjes–Carlitz polynomials | Number Theory | Elliptic functions | Combinatorics | Stieltjes-Carlitz polynomials | MATHEMATICS | POISSON-DARBOUX EQUATION

Journal Article

Journal of Theoretical Probability, ISSN 0894-9840, 12/2014, Volume 27, Issue 4, pp. 1167 - 1177

This paper studies a Stieltjes-type moment problem defined by the generalized lognormal distribution, a heavy-tailed distribution with applications in...

Size distribution | Volatility model | Generalized lognormal distribution | Stieltjes class | Probability Theory and Stochastic Processes | Moment problem | Mathematics | Statistics, general | Generalized error distribution | Lognormal distribution | 44A60 | 60E05 | STATISTICS & PROBABILITY

Size distribution | Volatility model | Generalized lognormal distribution | Stieltjes class | Probability Theory and Stochastic Processes | Moment problem | Mathematics | Statistics, general | Generalized error distribution | Lognormal distribution | 44A60 | 60E05 | STATISTICS & PROBABILITY

Journal Article

Journal of Theoretical Probability, ISSN 0894-9840, 3/2014, Volume 27, Issue 1, pp. 41 - 56

In this paper, we discuss some special properties of operator-valued semicircular random variables including representation of the Cauchy transform of a...

47B80 | 60B05 | 30E20 | Semicircular distributions | Cauchy–Stieltjes transform | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | 30B70 | Continued fractions | Operator-valued non-commutative probability | Cauchy-Stieltjes transform | STATISTICS & PROBABILITY

47B80 | 60B05 | 30E20 | Semicircular distributions | Cauchy–Stieltjes transform | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | 30B70 | Continued fractions | Operator-valued non-commutative probability | Cauchy-Stieltjes transform | STATISTICS & PROBABILITY

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.