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PROBABILITY INEQUALITIES FOR SUMS OF BOUNDED RANDOM VARIABLES

by Wassily Hoeffding , 1962
"... Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for Pr(S-ES> nt) depend only on the endpoints of the ranges of the s ..."
Abstract - Cited by 2215 (2 self) - Add to MetaCart
of the smumands and the mean, or the mean and the variance of S. These results are then used to obtain analogous inequalities for certain sums of dependent random variables such as U statistics and the sum of a random sample without replacement from a finite population.

Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties

by Jianqing Fan , Runze Li , 2001
"... Variable selection is fundamental to high-dimensional statistical modeling, including nonparametric regression. Many approaches in use are stepwise selection procedures, which can be computationally expensive and ignore stochastic errors in the variable selection process. In this article, penalized ..."
Abstract - Cited by 948 (62 self) - Add to MetaCart
Variable selection is fundamental to high-dimensional statistical modeling, including nonparametric regression. Many approaches in use are stepwise selection procedures, which can be computationally expensive and ignore stochastic errors in the variable selection process. In this article, penalized

Some simple effective approximations to the 2-Poisson model for probabilistic weighted retrieval

by S. E. Robertson, S. Walker - In Proceedings of SIGIR’94 , 1994
"... The 2–Poisson model for term frequencies is used to suggest ways of incorporating certain variables in probabilistic models for information retrieval. The variables concerned are within-document term frequency, document length, and within-query term frequency. Simple weighting functions are develope ..."
Abstract - Cited by 460 (14 self) - Add to MetaCart
The 2–Poisson model for term frequencies is used to suggest ways of incorporating certain variables in probabilistic models for information retrieval. The variables concerned are within-document term frequency, document length, and within-query term frequency. Simple weighting functions

The adaptive LASSO and its oracle properties

by Hui Zou - Journal of the American Statistical Association
"... The lasso is a popular technique for simultaneous estimation and variable selection. Lasso variable selection has been shown to be consistent under certain conditions. In this work we derive a necessary condition for the lasso variable selection to be consistent. Consequently, there exist certain sc ..."
Abstract - Cited by 683 (10 self) - Add to MetaCart
The lasso is a popular technique for simultaneous estimation and variable selection. Lasso variable selection has been shown to be consistent under certain conditions. In this work we derive a necessary condition for the lasso variable selection to be consistent. Consequently, there exist certain

Factor Graphs and the Sum-Product Algorithm

by Frank R. Kschischang, Brendan J. Frey, Hans-Andrea Loeliger - IEEE TRANSACTIONS ON INFORMATION THEORY , 1998
"... A factor graph is a bipartite graph that expresses how a "global" function of many variables factors into a product of "local" functions. Factor graphs subsume many other graphical models including Bayesian networks, Markov random fields, and Tanner graphs. Following one simple c ..."
Abstract - Cited by 1791 (69 self) - Add to MetaCart
A factor graph is a bipartite graph that expresses how a "global" function of many variables factors into a product of "local" functions. Factor graphs subsume many other graphical models including Bayesian networks, Markov random fields, and Tanner graphs. Following one simple

Factoring polynomials with rational coefficients

by A. K. Lenstra, H. W. Lenstra , L. Lovasz - MATH. ANN , 1982
"... In this paper we present a polynomial-time algorithm to solve the following problem: given a non-zero polynomial fe Q[X] in one variable with rational coefficients, find the decomposition of f into irreducible factors in Q[X]. It is well known that this is equivalent to factoring primitive polynomia ..."
Abstract - Cited by 961 (11 self) - Add to MetaCart
In this paper we present a polynomial-time algorithm to solve the following problem: given a non-zero polynomial fe Q[X] in one variable with rational coefficients, find the decomposition of f into irreducible factors in Q[X]. It is well known that this is equivalent to factoring primitive

Mediation in experimental and nonexperimental studies: new procedures and recommendations

by Patrick E. Shrout, Niall Bolger - PSYCHOLOGICAL METHODS , 2002
"... Mediation is said to occur when a causal effect of some variable X on an outcome Y is explained by some intervening variable M. The authors recommend that with small to moderate samples, bootstrap methods (B. Efron & R. Tibshirani, 1993) be used to assess mediation. Bootstrap tests are powerful ..."
Abstract - Cited by 696 (4 self) - Add to MetaCart
Mediation is said to occur when a causal effect of some variable X on an outcome Y is explained by some intervening variable M. The authors recommend that with small to moderate samples, bootstrap methods (B. Efron & R. Tibshirani, 1993) be used to assess mediation. Bootstrap tests are powerful

Data mules: Modeling a three-tier architecture for sparse sensor networks

by Rahul C. Shah, Sumit Roy, Sushant Jain, Waylon Brunette - IN IEEE SNPA WORKSHOP , 2003
"... Abstract — This paper presents and analyzes an architecture that exploits the serendipitous movement of mobile agents in an environment to collect sensor data in sparse sensor networks. The mobile entities, called MULEs, pick up data from sensors when in close range, buffer it, and drop off the data ..."
Abstract - Cited by 485 (6 self) - Add to MetaCart
the data to wired access points when in proximity. This leads to substantial power savings at the sensors as they only have to transmit over a short range. Detailed performance analysis is presented based on a simple model of the system incorporating key system variables such as number of MULEs, sensors

The Contributions of Certain Variables in Determining Room Rates

by Dr Eder , Paschoal Pinto , Mr Antônio , Augusto Da , Silva Abreu , Dr José , Marcos Carvalho , Mesquita , Dr. Eder Paschoal Pinto , Mr Augusto Antônio , Silva Da , Dr Abreu , Marcos José , Carvalho , Mesquita
"... Background: Researchers have given enormous importance to the hospitality industry, especially through studies that have analyzed the factors that affect traveler' decisions to book accommodation in hotels (e.g. room rate, amenities and location). However, data are generally examined from a gu ..."
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, Bahia, Brazil, for a period of eleven years were gently provided by hoteliers and analyzed by multiple regression tests. Results: Among the six models obtained, the best model shows that the predictor variables explain 72.8% of the fees charged by the hotels examined in our research, and that the &apos

A NOTE ON RINGS WITH CERTAIN VARIABLE IDENTITIES

by Hazar Abu-khuzam , 1987
"... ABSTRACT. It is proved that certain rings satisfying generalized-commutator constraints of the form [xm n n ny y y 0 with m and n depending on x and y, mst have nll commutator ideal. KEY WDRDS AND PHRASES. Commutator ideal, periodic ring. ..."
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ABSTRACT. It is proved that certain rings satisfying generalized-commutator constraints of the form [xm n n ny y y 0 with m and n depending on x and y, mst have nll commutator ideal. KEY WDRDS AND PHRASES. Commutator ideal, periodic ring.
Results 1 - 10 of 11,730