Introduction to Queueing Theory and Stochastic Teletraffic Models
... Chapter 3 discusses general queueing notation and concepts and it should be studied well. Chapter 4 aims to assist the student to perform simulations of queueing systems. Simulations are useful and important in the many cases where exact analytical results are not available. An important learning ob ...
... Chapter 3 discusses general queueing notation and concepts and it should be studied well. Chapter 4 aims to assist the student to perform simulations of queueing systems. Simulations are useful and important in the many cases where exact analytical results are not available. An important learning ob ...
Honesty via Choice-Matching - Internet Surveys of American Opinion
... more accurate (on average) than predictions of respondents that are not type matched, then his best strategy is to honestly declare his type. In particular, this will hold if respondents believe that types determine predictions exactly, and that different types support different predictions (stochas ...
... more accurate (on average) than predictions of respondents that are not type matched, then his best strategy is to honestly declare his type. In particular, this will hold if respondents believe that types determine predictions exactly, and that different types support different predictions (stochas ...
Testable and Untestable Classes of First
... about the entire structure after examining only a small, randomly selected sample. Lovász [50] has described it as the “third reincarnation” of this kind of general approach, after statistics and machine learning. The astonishing growth in massive data-sets requires us to find new techniques and app ...
... about the entire structure after examining only a small, randomly selected sample. Lovász [50] has described it as the “third reincarnation” of this kind of general approach, after statistics and machine learning. The astonishing growth in massive data-sets requires us to find new techniques and app ...
how to predict future duration from present age - Philsci
... Gott’s argument is sometimes called a “doomsday” argument, presumably because it can be used to make a prediction for the end of intelligent life. Note that Gott’s argument is importantly different than the much-discussed Carter/Leslie doomsday argument.4 According to the Carter/Leslie argument, tak ...
... Gott’s argument is sometimes called a “doomsday” argument, presumably because it can be used to make a prediction for the end of intelligent life. Note that Gott’s argument is importantly different than the much-discussed Carter/Leslie doomsday argument.4 According to the Carter/Leslie argument, tak ...
Principles of Data Analysis
... or a limit of such fractions, where the possible cases are all ‘equally likely’ because of some symmetry. The sum and product rules readily follow. But for most of the applications in this book a definition like (1.12)—the so-called “Frequentist” definition—is too restrictive. More generally, we can ...
... or a limit of such fractions, where the possible cases are all ‘equally likely’ because of some symmetry. The sum and product rules readily follow. But for most of the applications in this book a definition like (1.12)—the so-called “Frequentist” definition—is too restrictive. More generally, we can ...
Proceedings Version
... passes or fails the forecasting; the forecasts made by the forecaster each day are distributions over outcomes (e.g., 80% sunny and 20% rainy). A good test should at least be passable (with high probability) by an informed forecaster that knows Nature’s distribution and forecasts the correct conditi ...
... passes or fails the forecasting; the forecasts made by the forecaster each day are distributions over outcomes (e.g., 80% sunny and 20% rainy). A good test should at least be passable (with high probability) by an informed forecaster that knows Nature’s distribution and forecasts the correct conditi ...
Outline of Ergodic Theory Steven Arthur Kalikow
... and direction that the ball will be in a minute later). Fundamentally, ergodic theory is the study of transformations on a probability space which are measure preserving (e.g. if a set of points has measure 1/3, then the set of points which map into that set also has measure 1/3.) This means, for in ...
... and direction that the ball will be in a minute later). Fundamentally, ergodic theory is the study of transformations on a probability space which are measure preserving (e.g. if a set of points has measure 1/3, then the set of points which map into that set also has measure 1/3.) This means, for in ...
On the round complexity of black-box constructions of
... and therefore does not apply when considering schemes that might use random oracles. In contrast, Theorem 1.2 does hold relative to any oracle, and in the case of Item 3 of Theorem 1.2, is black-box. This is important for two reasons: first, Proposition 1.6 does not say whether such constructions a ...
... and therefore does not apply when considering schemes that might use random oracles. In contrast, Theorem 1.2 does hold relative to any oracle, and in the case of Item 3 of Theorem 1.2, is black-box. This is important for two reasons: first, Proposition 1.6 does not say whether such constructions a ...
... stuck in local optima. Much research has gone into fixing these problems, but has not yet resulted in an algorithm that provably runs in polynomial time. A second known technique is called projection pursuit in statistics [12]. In this, one projects the samples into a random low-dimensional space an ...
ENTROPY, SPEED AND SPECTRAL RADIUS OF RANDOM WALKS
... origin remains lit forever is a tail event. This event has probability p such that 0 < p < 1, which we will not prove here. This suggests that a random walk has nontrivial tail events (i.e., with probability strictly between 0 and 1) if and only if it has positive speed or entropy. This makes sense ...
... origin remains lit forever is a tail event. This event has probability p such that 0 < p < 1, which we will not prove here. This suggests that a random walk has nontrivial tail events (i.e., with probability strictly between 0 and 1) if and only if it has positive speed or entropy. This makes sense ...
How to Delegate Computations: The Power of No
... delegation scheme, by using a PIR scheme (or an FHE scheme).5 In this work, we choose to use the terminology of FHE schemes (as opposed to PIR schemes), because we find this terminology to be simpler. However, all our results hold with PIR schemes as well. In the resulting delegation scheme, the ver ...
... delegation scheme, by using a PIR scheme (or an FHE scheme).5 In this work, we choose to use the terminology of FHE schemes (as opposed to PIR schemes), because we find this terminology to be simpler. However, all our results hold with PIR schemes as well. In the resulting delegation scheme, the ver ...
What has been will be again : A Machine Learning Approach to the Analysis of Natural Language
... need to separate the intrinsic dynamics of the system from the more relevant information of the (unknown) control signals. A common practice is to rst preprocess the input signal and transform it to a more compact representation. In most if not all speech and handwriting recognition systems this pr ...
... need to separate the intrinsic dynamics of the system from the more relevant information of the (unknown) control signals. A common practice is to rst preprocess the input signal and transform it to a more compact representation. In most if not all speech and handwriting recognition systems this pr ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.