Proofs of Partial Knowledge and Simplified Design of Witness
... {Γ (k)| k = 1, 2, . . .} We can then build a new protocol for proving statements on n problem instances provided we have a perfect secret sharing scheme S(k) for Γ (k)∗ satisfying certain requirements to be defined below. Let D(s) denote the joint probability distribution of all shares resulting fr ...
... {Γ (k)| k = 1, 2, . . .} We can then build a new protocol for proving statements on n problem instances provided we have a perfect secret sharing scheme S(k) for Γ (k)∗ satisfying certain requirements to be defined below. Let D(s) denote the joint probability distribution of all shares resulting fr ...
Credibility of Confidence Sets in Nonstandard Econometric Problems
... short with positive probability; for instance, it is shorter than the usual twostage least squares interval (but not empty) approximately 2.7% of the time. Applied researchers faced with such short intervals would presumably conclude that the data were very informative, and report and interpret the ...
... short with positive probability; for instance, it is shorter than the usual twostage least squares interval (but not empty) approximately 2.7% of the time. Applied researchers faced with such short intervals would presumably conclude that the data were very informative, and report and interpret the ...
STAT 100 Elementary Statistics for Applications
... to discuss the concepts that are peculiar to their field of study. This is also the case in statistics. Before statistical concepts can be applied to problem solving it is necessary to have an operational knowledge about their meaning. Here are some terms and definitions with which a person using st ...
... to discuss the concepts that are peculiar to their field of study. This is also the case in statistics. Before statistical concepts can be applied to problem solving it is necessary to have an operational knowledge about their meaning. Here are some terms and definitions with which a person using st ...
Invariant transports of stationary random measures and mass
... Neveu’s [23] well-known exchange formula (see Remark 3.7) is an apparently quite different property of Palm measures. We will generalize Neveu’s result in our Theorem 3.6. This is then actually the key to obtaining the general invariance property of Theorem 4.1, containing all the invariance results ...
... Neveu’s [23] well-known exchange formula (see Remark 3.7) is an apparently quite different property of Palm measures. We will generalize Neveu’s result in our Theorem 3.6. This is then actually the key to obtaining the general invariance property of Theorem 4.1, containing all the invariance results ...
Elliptic Curve Cryptosystems
... divisible by a large prime, in order to preclude easy solution of the discrete logarithm problem in them. In our examples, G is either a "random" point chosen after we have specified q (in Examples (l)-(2) above) or else a global point (Example (3)), i.e., a fixed point of infinite order on an ellip ...
... divisible by a large prime, in order to preclude easy solution of the discrete logarithm problem in them. In our examples, G is either a "random" point chosen after we have specified q (in Examples (l)-(2) above) or else a global point (Example (3)), i.e., a fixed point of infinite order on an ellip ...
9 Expectation and Variance
... An average (expectation) can be regarded as one number that summarizes an entire probability model. After finding an average, someone who wants to look further into the probability model might ask, “How typical is the average?” or, “What are the chances of observing an event far from the average?” A ...
... An average (expectation) can be regarded as one number that summarizes an entire probability model. After finding an average, someone who wants to look further into the probability model might ask, “How typical is the average?” or, “What are the chances of observing an event far from the average?” A ...
ACTEX Study Manual for CAS Exam S
... The material on the conditional distributions of waiting times of Poisson processes is refined and moved to the section on order statistics (Section 7.1), where you will acquire working knowledge of order statistics and better understand how the waiting times are distributed conditionally. The e ...
... The material on the conditional distributions of waiting times of Poisson processes is refined and moved to the section on order statistics (Section 7.1), where you will acquire working knowledge of order statistics and better understand how the waiting times are distributed conditionally. The e ...
On linear processes with dependent innovations
... GARCH innovations have been proposed to model some econometric time series. The former feature allows LRD and the latter one allows that the conditional variance can change over time, namely heteroscedasticity. Financial time series often exhibit these two features. Hence FARIMA models with GARCH in ...
... GARCH innovations have been proposed to model some econometric time series. The former feature allows LRD and the latter one allows that the conditional variance can change over time, namely heteroscedasticity. Financial time series often exhibit these two features. Hence FARIMA models with GARCH in ...
II. Probability - UCLA Cognitive Systems Laboratory
... are at most exponential in the treewidth of underlying network structure. This result assumes that one has access to a decomposition structure, known as a dtree, which is used to control the decomposition process at each level of the recursive process [Darwiche 2001]. Similar to a jointree, finding ...
... are at most exponential in the treewidth of underlying network structure. This result assumes that one has access to a decomposition structure, known as a dtree, which is used to control the decomposition process at each level of the recursive process [Darwiche 2001]. Similar to a jointree, finding ...