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Record W2489762097 · doi:10.1017/cbo9780511841583.004

Probability theory, random variables and random processes

2009· book-chapter· en· W2489762097 on OpenAlexaff
Ha H. Nguyen, E. Shwedyk

Bibliographic record

VenueCambridge University Press eBooks · 2009
Typebook-chapter
Languageen
FieldEngineering
TopicAdvanced Wireless Communication Techniques
Canadian institutionsUniversity of ManitobaUniversity of Saskatchewan
Fundersnot available
KeywordsNondeterministic algorithmSIGNAL (programming language)Intersymbol interferenceMultipath propagationComputer scienceInterference (communication)FadingChannel (broadcasting)Transmission (telecommunications)AlgorithmRandom variableTelecommunicationsMathematicsStatistics

Abstract

fetched live from OpenAlex

The main objective of a communication system is the transfer of information over a channel. By its nature, the message signal that is to be transmitted is best modeled by a random signal. This is due to the fact that any signal that conveys information must have some uncertainty in it, otherwise its transmission is of no interest. When a signal is transmitted through a communication channel, there are two types of imperfections that cause the received signal to be different from the transmitted signal. One type of imperfection is deterministic in nature, such as linear and nonlinear distortions, intersymbol interference (ISI), etc. The second type is nondeterministic, such as addition of noise, interference, multipath fading, etc. For a quantitative study of these nondeterministic phenomena, a random model is required. This chapter is concerned with the methods used to describe and characterize a random signal, generally referred to as a random process and also commonly called a stochastic process . Since a random process is in essence a random variable evolving in time we first consider random variables. Random variables Sample space and probability The fundamental concept in any probabilistic model is the concept of a random experiment . In general, an experiment is called random if its outcome, for some reason, cannot be predicted with certainty. Examples of simple random experiments are throwing a die, flipping a coin, and drawing a card from a deck.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.007
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.008
Threshold uncertainty score0.028

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.007
Meta-epidemiology (narrow)0.0020.000
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0020.003
Science and technology studies0.0010.005
Scholarly communication0.0040.005
Open science0.0020.001
Research integrity0.0020.003
Insufficient payload (model declined to judge)0.0080.002

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.016
GPT teacher head0.191
Teacher spread0.174 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations2
Published2009
Admission routes1
Has abstractyes

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Same venueCambridge University Press eBooksSame topicAdvanced Wireless Communication TechniquesFrench-language works237,207