1. TOTAL POSITIVITY, ABSORPTION PROBABILITIES AND APPLICATIONS(i)
and Y respectively is said to be totally positive of order r (TPr) if for all ..... SAMUEL KARLIN. [April. In the midst of our studies of these examples we ..... Our next two propositions are in the same vein as the preceding theorems. ..... Theorem 3.2. Let 0> be a TPr Markoff process, and suppose B :g {c}. Then ...
S0002-9947-1964-0168010-2 | 
www.ams.org
2. View or Download - Oscillation Properties of Generalized ...
for Totally Positive and Positive Definite Matrices. SAMUEL KARLIN”. AND ALLAN PINKUS ..... (3.2). We suppress the reference to n where no ambiguity can arise and write, ..... the monotonicity property stated in the next proposition. ...
osc | www.math.technion.ac.il
3. The fundamental theorem of algebra for monosplines satisfying ...
SAMUEL KARLIN** AND CHARLES MICCHELLI t. ABSTRACT ... arguments, facts pertaining to totally positive transformations and the study of certain determinants. ...... PROPOSITION 3.2. Let ~r (3 ~1 satisfy Postulate I. Suppose 2r > 1. ...
R370P473T2441HMV | www.springerlink.com
4. Optimal Gerrymandering in a Competitive Environment
strategy, in its purest form (as in Proposition 2), as a jmatching ... 3.2 A Special Case. Suppose that we make the strong assumption that / is ..... [5] Karlin, Samuel (1968). Total Positivity. Stanford University Press, Stanford CA. ...
Competitive%20Gerrymandering | faculty.chicagobooth.edu
5. Efficiency of linear estimators under heavy-tailedness ...
Sep 23, 2010 ... Wolfgang Härdle, Boyan Jovanovic, Samuel Karlin, ...... and 3.2 imply that, under the assumptions of Proposition 3.1, the function ˜ψ(a, ϵ) = P ... Karlin, S. (1968). Total positivity. Stanford University Press. ...
ibragimov_efficiency?sequence=2 | dash.harvard.edu
6. SPECTRAL PROPERTIES OF A CLASS OF BOUNDARY VALUE PROBLEMS
Lemma 3.2, the previous reasoning also applies to the adjoint problem t*z —g, which is ..... Samuel Karlin, Total positivity, interpolation by splines, ...
0025-5734_42_3_A06 | iopscience.iop.org
7. Broken-Cycle-Free Subgraphs and the Log-Concavity Conjecture for ...
Property (ii) in the proposition is nice, and together with similar reasoning for η (G) one might be ... False Conjecture 3.2. The function ε (G) is increasing on ..... [Karlin 68] Samuel Karlin. Total Positivity, vol. I. Stanford: ...
Markstroem | www.expmath.org
8. PII: 0022-247X(65)90049-1
Submitted by Samuel Karlin. INTRODUCTION. Set-valued functions have been af ... points t in T with the property in question is of positive Lebesgue measure. .... Wewish to show that the 'pj and theg, obeying (3.2) can be chosen measurable, ..... The proof follows Karlin's ideas, but use of Proposition 2.1 makes ...
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