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An Exact Test for Multiple Inequality and Equality Constraints in the Linear Regression Model
Multiple Inequality Equality Constraints
2015/7/31
In this article we consider the linear regression model y = X,B + a,
where e is N(O, a21). In this context we derive exact tests of the form
H: Rft ? r versus K: f E R K for the case in which a2 i...
NONLINEAR MAXIMUM PRINCIPLES FOR DISSIPATIVE LINEAR NONLOCAL OPERATORS AND APPLICATIONS
NONLINEAR MAXIMUM PRINCIPLES DISSIPATIVE LINEAR NONLOCAL OPERATORS APPLICATIONS
2014/4/3
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of glo...
Linear independence of time-frequency translates of functions with faster than exponential decay
Gabor system exponential decay HRT conjecture linear independence timefrequency translates analytic zero divisor conjecture
2012/6/29
We establish the linear independence of time-frequency translates for functions $f$ having one sided decay $\lim_{x\to \infty} |f(x)| e^{cx \log x} = 0$ for all $c>0$. We also prove such results for f...
Weak Markov Processes as Linear Systems
multi-variable system weakMarkov process cascade observability asymptotic completeness
2012/6/15
A noncommutative Fornasini-Marchesini system (a multi-variable version of a linear system) can be realized within a weak Markov process (a model for quantum evolution). For a discrete time parameter t...
Thompson's group F and Linear group GL_{infty}(ZZ)
Thompson's group F Word-metric Lipschitz map
2011/10/20
Thepaper proves that there is an injective Lipschitz map arphi:(F, d_{S})longrightarrow(H,d),where F is the Thompson's group, d_{S} is the word-metric of F with respect to the finite generating set S...
On the Properties of Special Functions on the linear-type lattices
q-hypergeometric functions difference equations recurrence relations q-polynomials
2011/9/23
Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
Algorithms for Highly Symmetric Linear and Integer Programs
Algorithms Highly Symmetric Linear Integer Programs
2011/2/25
This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear progra...
Korovkin type theorem and iterates of certain positive linear operators
Iterates of operators degree of approximation K-functionals modulus of smoothness
2011/1/18
In this paper we prove Korovkin type theorem for iterates of general positive linear operators T :C [0, 1] ! C [0, 1] and derive quantitative estimates in terms of modulus of smoothness. In particular...
Symmetric Invariant Subspaces of Complexifications of Linear Operators
Symmetric Invariant Subspaces Complexifications of Linear Operators
2011/2/22
Let T : X → X be a linear operator on a complex Banach space. Denote by (T ) and R(, T ) its spectrum and resolvent.
Iteration Procedure for the N-Dimensional System of Linear Equations
linear system iteration hyperplane convergence
2011/3/4
A simple iteration methodology for the solution of a set of a linear algebraic equations is pre-sented. The explanation of this method is based on a pure geometrical interpretation and pictorial repre...
Cone Normed Linear Spaces
Cone norm cone convergence cone continuous cone com-plete cone compact
2010/12/3
In this paper, we introduce cone normed linear space,study the cone convergence with respect to cone norm. Fi-nally, we prove the completeness of a finite dimensional cone normed linear space.
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation
2010/11/29
Conditions for the second-order linear differential equation X3 i=0 a3,ixi ! y′′ + X2 i=0 a2,ixi ! y′− X1 i=0 τ1,ixi! y = 0 to have polynomial solutions are given. Several application of these r...
Linear Estimation of Location and Scale Parameters Using Partial Maxima
Partial Maxima BLUEs Location-scale family Partial Maxima Spacings
2010/12/1
Consider an i.i.d. sample X∗ 1 ,X∗ 2 , . . . ,X∗ n from a location-scale family.
About a Class of Linear Positive Operators Obtained by Choosing the Nodes
Linear positive operators convergence theorem the first order modulus of smoothness approximation theorem
2010/1/25
In this paper we consider the given linear positive operators and with their help, we construct linear positive operators . We study the convergence, the evaluation for the rate of convergence in t...
A Surprising Result in Comparing Orthogonal and Nonorthogonal Linear Experiments
Linear experiment orthogonal/nonorthogonal experiment single parameters comparison of experiments
2010/1/25
We demonstrate by example that within nonorthogonal linear experiments, a useful condition derived for comparing of the orthogonal ones not only fails but it may also lead to the reverse order.