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- Independent_and_identically_distributed_random_variables abstract "In probability theory and statistics, a sequence or other collection of random variables is independent and identically distributed (i.i.d.) if each random variable has the same probability distribution as the others and all are mutually independent.The abbreviation i.i.d. is particularly common in statistics (often as iid, sometimes written IID), where observations in a sample are often assumed to be effectively i.i.d. for the purposes of statistical inference. The assumption (or requirement) that observations be i.i.d. tends to simplify the underlying mathematics of many statistical methods (see mathematical statistics and statistical theory). However, in practical applications of statistical modeling the assumption may or may not be realistic. To test how realistic the assumption is on a given data set, the autocorrelation can be computed, lag plots drawn or turning point test performed.The generalization of exchangeable random variables is often sufficient and more easily met.The assumption is important in the classical form of the central limit theorem, which states that the probability distribution of the sum (or average) of i.i.d. variables with finite variance approaches a normal distribution.Note that IID refers to sequences of random variables. \"Independent and identically distributed\" implies an element in the sequence is independent of the random variables that came before it. In this way, an IID sequence is different from a Markov sequence, where the probability distribution for the nth random variable is a function of the previous random variable in the sequence (for a first order Markov sequence). An IID sequence does not imply the probabilities for all elements of the sample space or event space must be the same. For example, repeated throws of loaded dice will produce a sequence that is IID, despite the outcomes being biased.".
- Independent_and_identically_distributed_random_variables wikiPageID "30876902".
- Independent_and_identically_distributed_random_variables wikiPageLength "5907".
- Independent_and_identically_distributed_random_variables wikiPageOutDegree "49".
- Independent_and_identically_distributed_random_variables wikiPageRevisionID "707571723".
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Abbreviation.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Autocorrelation.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Bayesian_statistics.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Bernoulli_process.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Bruno_de_Finetti.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Category:Probability_theory.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Category:Statistical_models.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Category:Statistical_theory.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Central_limit_theorem.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Correlogram.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink De_Finettis_theorem.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Deconvolution.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Discrete_time_and_continuous_time.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Exchangeable_random_variables.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Gamblers_fallacy.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Image_processing.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Independence_(probability_theory).
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Joint_probability_distribution.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Lévy_process.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Markov_chain.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Mathematical_statistics.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Mean.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Normal_distribution.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Null_hypothesis.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Permutation.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Probability_distribution.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Probability_theory.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Random_variable.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Roulette.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Sample_(statistics).
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Sample_space.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Sequence.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Signal_processing.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Simple_random_sample.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Statistical_inference.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Statistical_model.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Statistical_theory.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Statistics.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Stochastic_calculus.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Symmetric_group.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Turning_point_test.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Variance.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink White_noise.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Wiener_process.
- Independent_and_identically_distributed_random_variables wikiPageWikiLink Z-test.
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "''i.i.d.''".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "Independent and Identically Distributed (NIID)".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "Independent and identically distributed random variables".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "i.i.d".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "i.i.d. random variables".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "i.i.d. variables".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "i.i.d.".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "identical random".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "iid".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent and identically distributed (i.i.d.)".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent and identically distributed continuous random variables".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent and identically distributed entries".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent and identically distributed random variables".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent and identically distributed".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independent, identically distributed".
- Independent_and_identically_distributed_random_variables wikiPageWikiLinkText "independently and identically distributed".
- Independent_and_identically_distributed_random_variables wikiPageUsesTemplate Template:Dubious.
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- Independent_and_identically_distributed_random_variables wikiPageUsesTemplate Template:Main.
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- Independent_and_identically_distributed_random_variables subject Category:Probability_theory.
- Independent_and_identically_distributed_random_variables subject Category:Statistical_models.
- Independent_and_identically_distributed_random_variables subject Category:Statistical_theory.
- Independent_and_identically_distributed_random_variables type Model.
- Independent_and_identically_distributed_random_variables type Model.
- Independent_and_identically_distributed_random_variables type Redirect.
- Independent_and_identically_distributed_random_variables type Theory.
- Independent_and_identically_distributed_random_variables comment "In probability theory and statistics, a sequence or other collection of random variables is independent and identically distributed (i.i.d.) if each random variable has the same probability distribution as the others and all are mutually independent.The abbreviation i.i.d. is particularly common in statistics (often as iid, sometimes written IID), where observations in a sample are often assumed to be effectively i.i.d. for the purposes of statistical inference.".
- Independent_and_identically_distributed_random_variables label "Independent and identically distributed random variables".
- Independent_and_identically_distributed_random_variables sameAs Q378542.
- Independent_and_identically_distributed_random_variables sameAs متغيرات_مستقلة_ومتشابهة_التوزيع.
- Independent_and_identically_distributed_random_variables sameAs متغیرهای_تصادفی_مستقل_با_توزیع_یکسان.
- Independent_and_identically_distributed_random_variables sameAs Riippumaton_ja_identtisesti_jakautunut.
- Independent_and_identically_distributed_random_variables sameAs Variables_indépendantes_et_identiquement_distribuées.
- Independent_and_identically_distributed_random_variables sameAs Variabili_indipendenti_e_identicamente_distribuite.
- Independent_and_identically_distributed_random_variables sameAs m.02bbl7.
- Independent_and_identically_distributed_random_variables sameAs Независимые_одинаково_распределённые_случайные_величины.
- Independent_and_identically_distributed_random_variables sameAs Independent_identically-distributed_random_variables.
- Independent_and_identically_distributed_random_variables sameAs Oberoende_och_likafördelade.
- Independent_and_identically_distributed_random_variables sameAs Незалежні_однаково_розподілені_випадкові_величини.
- Independent_and_identically_distributed_random_variables sameAs Q378542.
- Independent_and_identically_distributed_random_variables wasDerivedFrom Independent_and_identically_distributed_random_variables?oldid=707571723.
- Independent_and_identically_distributed_random_variables isPrimaryTopicOf Independent_and_identically_distributed_random_variables.