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Marshall’s Theory of Value and the Strong Law of Demand
, 2007
"... We show that all the fundamental properties of competitive equilibrium in Marshall’s theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. This is, existence, uniqueness, optimality, global stability of equ ..."
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Cited by 3 (0 self)
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We show that all the fundamental properties of competitive equilibrium in Marshall’s theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. This is, existence, uniqueness, optimality, global stability
STRONG LAW OF LARGE NUMBERS FOR SUMS OF PRODUCTS
 THE ANNALS OF PROBABILITY
, 1996
"... Let X � Xn, n ≥ 1, be a sequence of independent identically distributed random variables. We give necessary and sufficient conditions for the strong law of large numbers n −k/p Xi1Xi2 � � � Xik → 0 a.s. 1≤i1<i2<···<ik≤n for k = 2 without regularity conditions on X, for k ≥ 3 in three case ..."
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Cited by 2 (0 self)
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Let X � Xn, n ≥ 1, be a sequence of independent identically distributed random variables. We give necessary and sufficient conditions for the strong law of large numbers n −k/p Xi1Xi2 � � � Xik → 0 a.s. 1≤i1<i2<···<ik≤n for k = 2 without regularity conditions on X, for k ≥ 3 in three
A Note on the Strong Law of Large Numbers
"... Abstract. Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant ..."
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Abstract. Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative
THE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE NEGATIVELY DEPENDENT RANDOM VARIABLES*
"... Abstract – In this paper, strong laws of large numbers (SLLN) are obtained for the sums ∑ n ..."
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Abstract – In this paper, strong laws of large numbers (SLLN) are obtained for the sums ∑ n
STRONG LAW OF LARGE NUMBERS FOR OPTIMAL POINTS
"... Dedicated to my husband Maciej. Abstract. This paper was inspired by the work of B. Beauzamy and S. Guerre [3], who gave a new version of the strong law of large numbers taking a generalization of Cesaro averages and then considering independent random variables with values in Lp spaces. We first i ..."
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Dedicated to my husband Maciej. Abstract. This paper was inspired by the work of B. Beauzamy and S. Guerre [3], who gave a new version of the strong law of large numbers taking a generalization of Cesaro averages and then considering independent random variables with values in Lp spaces. We first
WEAK AND STRONG LAWS OF LARGE NUMBERS FOR COHERENT
"... ABSTRACT. We prove weak and strong laws of large numbers for coherent lower previsions, where the lower prevision of a random variable is given a behavioural interpretation as a subject’s supremum acceptable price for buying it. Our laws are a consequence of the rationality criterion of coherence, ..."
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ABSTRACT. We prove weak and strong laws of large numbers for coherent lower previsions, where the lower prevision of a random variable is given a behavioural interpretation as a subject’s supremum acceptable price for buying it. Our laws are a consequence of the rationality criterion of coherence
Strong laws for dependent heterogeneous processes. Econometric Theory 7
, 1991
"... This paper presents maximal inequalities and strong law of large numbers for weakly dependent heterogeneous random variables. Specifically considered are Lr mixingales for r> 1, strong mixing sequences, and near epoch dependent (NED) sequences. We provide the first strong law for Lrbounded Lr mi ..."
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Cited by 24 (4 self)
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This paper presents maximal inequalities and strong law of large numbers for weakly dependent heterogeneous random variables. Specifically considered are Lr mixingales for r> 1, strong mixing sequences, and near epoch dependent (NED) sequences. We provide the first strong law for Lrbounded Lr
A Strong Law for the Minkowski Polytope of a Sample
"... Using the existence theorem of Minkowski, we consider the mapping of a data set in IR d into a convex body called the Minkowski polytope. Elsewhere the first author has treated this as a data analytic tool. Here we show that the MP obeys a strong law in the sense of converging in the Hausdorff met ..."
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Using the existence theorem of Minkowski, we consider the mapping of a data set in IR d into a convex body called the Minkowski polytope. Elsewhere the first author has treated this as a data analytic tool. Here we show that the MP obeys a strong law in the sense of converging in the Hausdorff
Determinants of Economic Growth: A CrossCountry Empirical Study
, 1996
"... Empirical findings for a panel of around 100 countries from 1960 to 1990 strongly support the general notion of conditional convergence. For a given starting level of real per capita GDP, the growth rate is enhanced by higher initial schooling and life expectancy, lower fertility, lower government c ..."
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Cited by 889 (12 self)
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Empirical findings for a panel of around 100 countries from 1960 to 1990 strongly support the general notion of conditional convergence. For a given starting level of real per capita GDP, the growth rate is enhanced by higher initial schooling and life expectancy, lower fertility, lower government
Measurement and Analysis of Online Social Networks
 In Proceedings of the 5th ACM/USENIX Internet Measurement Conference (IMC’07
, 2007
"... Online social networking sites like Orkut, YouTube, and Flickr are among the most popular sites on the Internet. Users of these sites form a social network, which provides a powerful means of sharing, organizing, and finding content and contacts. The popularity of these sites provides an opportunity ..."
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Cited by 697 (14 self)
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and 328 million links. We believe that this is the first study to examine multiple online social networks at scale. Our results confirm the powerlaw, smallworld, and scalefree properties of online social networks. We observe that the indegree of user nodes tends to match the outdegree; that the networks
Results 11  20
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901,900