Results 81 to 90 of about 47,072 (207)
Multiple Changepoint Detection for Non‐Gaussian Time Series
ABSTRACT This article combines methods from existing techniques to identify multiple changepoints in non‐Gaussian autocorrelated time series. A transformation is used to convert a Gaussian series into a non‐Gaussian series, enabling penalized likelihood methods to handle non‐Gaussian scenarios.
Robert Lund +3 more
wiley +1 more source
The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.
Acikgoz, Mehmet +3 more
core
First comprehensive ecological assessment of the endangered genus Tigridiopalma, covering two China endemic Plant Species with Extremely Small Populations (PSESP), T. magnifica and the newly described T. exalata. T. magnifica exhibits broader habitat diversity and understory resilience, while T.
Peishan Zou +7 more
wiley +1 more source
On the q-Lie group of q-Appell polynomial matrices and related factorizations
In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
doaj +1 more source
Bayesian Random‐Effects Meta‐Analysis of Aggregate Data on Clinical Events
ABSTRACT To investigate intervention effects on rare events, meta‐analysis techniques are commonly applied in order to assess the accumulated evidence. When it comes to adverse effects in clinical trials, these are often most adequately handled using survival methods.
Christian Röver +3 more
wiley +1 more source
Novel Approximate Solutions for Nonlinear Blasius Equations
The method of operational matrices based on different types of polynomials such as Bernstein, shifted Legendre and Bernoulli polynomials will be presented and implemented to solve the nonlinear Blasius equations approximately. The nonlinear differential
Amna M. Mahdi +2 more
doaj +1 more source
C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
A new class of generalized polynomials associated with Hermite and Bernoulli polynomials
In this paper, we introduce a new class of generalized polynomials associated with the modified Milne-Thomson's polynomials Φ_{n}^{(α)}(x,ν) of degree n and order α introduced by Derre and Simsek.The concepts of Bernoulli numbers B_n, Bernoulli ...
M. A. Pathan, Waseem A. Khan
doaj
Evaluating parametric holonomic sequences using rectangular splitting
We adapt the rectangular splitting technique of Paterson and Stockmeyer to the problem of evaluating terms in holonomic sequences that depend on a parameter. This approach allows computing the $n$-th term in a recurrent sequence of suitable type using $O(
Johansson, Fredrik
core +1 more source

