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This paper studies the formation of risk-sharing networks through costly social
investments, identifying endogenous inequality and a misallocation of resources as possible
downsides to such agreemen...
A needle of length I dropped at random on a grid of parallel lines of distance
d apart can have multiple intersections if I > d. The distribution of the number
of intersections and approximate mom...
Let A be a subset of the integers and let Snbe the number of heads in
n tosses of a p coin. If limn,, P(SnE A) exists for some p then the limit
exists for all p and does not depend on p. The relat...
CONJUGATE PRIORS FOR EXPONENTIAL FAMILIES
Random vector distribution natural parameter parameters
2015/7/15
Let X be a random vector distributed according to an exponential family
with natural parameter 0 E O.We characterize conjugate prior measures on O
through the property of linear posterior expectat...
ON the Statistics of Cision:The Julesz Conjecture.
On the Permanents of Complements of the Direct Sum of identity Matrices
Complement, permanent magnet straight, identity matrix
2015/7/14
On the Permanents of Complements of the Direct Sum of identity Matrices.
DE FINETTI'S THEOREM FOR SYMMETRIC LOCATION FAMILIES
Symmetry position family real value sequence random variables the identical distribution mixture
2015/7/14
This paper characterizes mixtures of symmetric location families.
More specifically, let X = (XI, Xz, .. . ) be an exchangeable sequence of real-valued random
variables. By de Finetti's theorem, X...
ON THE MAXIMUM DIFFERENCE BETWEEN THE EMPIRICAL AND EXPECTED HISTOGRAMS FOR SUMS
N independent distributed random variables curve Sn probability histogram
2015/7/14
Suppose Sn
is a sum of n independent and identically
distributed random variables with E\Xl\
ON INCONSISTENT BAYES ESTIMATES IN THE DISCRETE CASE
Probability distribution integer mixture dirichlet
2015/7/14
Consider sampling from an unknown probability distribution on the
integers. With a tail-free prior, the posterior distribution is consistent. With
a mixture of a tail-free prior and a point mass, ...
TESTING FOR INDEPENDENCE IN A TWO-WAY TABLE: NEW INTERPRETATIONS OF THE CHI-SQUARE STATISTIC
Classic chi-square distribution independent statistics dimension
2015/7/14
The classical chi-square test for independence in a two-way contingency
table often rejects the independence hypothesis at an extremely small signif-
icance level, particularly when the sample siz...
ON SQUARE ROOTS OF THE UNIFORM DISTRIBUTION ON COMPACT GROUPS
Separate topology group probability quaternion group organization properties
2015/7/14
Let G be a compact separable topological group. When does there exist a
probability P such that P P = U ,where U is Haarmeasure and P + U? We show
that such square roots exist if and only if G is ...
THE SUBGROUP ALGORITHM FOR GENERATING UNIFORM RANDOM VARIABLES
Subgroup algorithm to generate unified random variable
2015/7/14
THE SUBGROUP ALGORITHM FOR GENERATING UNIFORM RANDOM VARIABLES.
RANDOM WALKS ARISING IN RANDOM NUMBER GENERATION。
ON MERGING OF PROBABILITIES
Sequence probability the concept of number proverb discrete random variables
2015/7/14
Two sequences of probabilities can merge together without necessarily
converging. Several notions of merging compatible with the weak star topology are introduced.
Inclusions and equivalences are ...
HONEST BERNOULLI EXCURSIONS
EXCURSION DISTANCE RANDOM WALK LIMITING DISTRIBUTION ZETA FUNCTION FIRST RETURN DISTANCE
2015/7/14
For simple random walk on the integers, consider the chance that the walk has
traveled distance k from its start gwen that its first return is at time 2n. We derive a
limiting approximation accura...