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- Moment_measure abstract "In probability and statistics, a moment measure is a mathematical quantity, function or, more precisely, measure that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. Moment measures generalize the idea of (raw) moments of random variables, hence arise often in the study of point processes and related fields.An example of a moment measure is the first moment measure or intensity measure of a point process, which gives the expected or average number of points of the point process being located in some region of space. In other words, if the number of points of a point process located in some region of space is a random variable, then the first moment measure corresponds to the first moment of this random variable.Moment measures feature prominently in the study of point processes as well as the related fields of stochastic geometry and spatial statistics whose applications are found in numerous scientific and engineering disciplines such as biology, geology, physics, and telecommunications.".
- Moment_measure wikiPageID "40969212".
- Moment_measure wikiPageLength "10083".
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- Moment_measure wikiPageRevisionID "670954537".
- Moment_measure wikiPageWikiLink Abstraction_(mathematics).
- Moment_measure wikiPageWikiLink Biology.
- Moment_measure wikiPageWikiLink Borel_set.
- Moment_measure wikiPageWikiLink Cartesian_product.
- Moment_measure wikiPageWikiLink Category:Probability_theory.
- Moment_measure wikiPageWikiLink Category:Spatial_data_analysis.
- Moment_measure wikiPageWikiLink Covariance.
- Moment_measure wikiPageWikiLink Dirac_measure.
- Moment_measure wikiPageWikiLink Engineering.
- Moment_measure wikiPageWikiLink Euclidean_space.
- Moment_measure wikiPageWikiLink Expected_value.
- Moment_measure wikiPageWikiLink Factorial_moment.
- Moment_measure wikiPageWikiLink Factorial_moment_measure.
- Moment_measure wikiPageWikiLink Function_(mathematics).
- Moment_measure wikiPageWikiLink General_Poisson_point_process.
- Moment_measure wikiPageWikiLink Geology.
- Moment_measure wikiPageWikiLink Homogeneous_Poisson_point_process.
- Moment_measure wikiPageWikiLink Indicator_function.
- Moment_measure wikiPageWikiLink Integer.
- Moment_measure wikiPageWikiLink Lebesgue_measure.
- Moment_measure wikiPageWikiLink Mathematical.
- Moment_measure wikiPageWikiLink Mathematical_constant.
- Moment_measure wikiPageWikiLink Mathematical_model.
- Moment_measure wikiPageWikiLink Mathematical_object.
- Moment_measure wikiPageWikiLink Mathematical_objects.
- Moment_measure wikiPageWikiLink Mathematical_space.
- Moment_measure wikiPageWikiLink Mathematics.
- Moment_measure wikiPageWikiLink Measurable_function.
- Moment_measure wikiPageWikiLink Measure_(mathematics).
- Moment_measure wikiPageWikiLink Moment_(mathematics).
- Moment_measure wikiPageWikiLink Multiplication.
- Moment_measure wikiPageWikiLink Non-negative.
- Moment_measure wikiPageWikiLink Operator_(mathematics).
- Moment_measure wikiPageWikiLink Physics.
- Moment_measure wikiPageWikiLink Point_(geometry).
- Moment_measure wikiPageWikiLink Point_process.
- Moment_measure wikiPageWikiLink Point_process_notation.
- Moment_measure wikiPageWikiLink Probability.
- Moment_measure wikiPageWikiLink Random.
- Moment_measure wikiPageWikiLink Random_measure.
- Moment_measure wikiPageWikiLink Random_variable.
- Moment_measure wikiPageWikiLink Randomness.
- Moment_measure wikiPageWikiLink Science.
- Moment_measure wikiPageWikiLink Scientific.
- Moment_measure wikiPageWikiLink Set_(mathematics).
- Moment_measure wikiPageWikiLink Sign_(mathematics).
- Moment_measure wikiPageWikiLink Space.
- Moment_measure wikiPageWikiLink Space_(mathematics).
- Moment_measure wikiPageWikiLink Spatial_analysis.
- Moment_measure wikiPageWikiLink Spatial_statistics.
- Moment_measure wikiPageWikiLink Statistics.
- Moment_measure wikiPageWikiLink Stochastic_geometry.
- Moment_measure wikiPageWikiLink Stochastic_process.
- Moment_measure wikiPageWikiLink Stochastic_processes.
- Moment_measure wikiPageWikiLink Summation.
- Moment_measure wikiPageWikiLink Telecommunication.
- Moment_measure wikiPageWikiLink Telecommunications.
- Moment_measure wikiPageWikiLink Time.
- Moment_measure wikiPageWikiLink Tuple.
- Moment_measure wikiPageWikiLink Tuples.
- Moment_measure wikiPageWikiLink Variance.
- Moment_measure wikiPageWikiLinkText "''n''-th power of a point process".
- Moment_measure wikiPageWikiLinkText "Moment measure".
- Moment_measure wikiPageWikiLinkText "first moment measure".
- Moment_measure wikiPageWikiLinkText "intensity measure".
- Moment_measure wikiPageWikiLinkText "moment measure".
- Moment_measure hasPhotoCollection Moment_measure.
- Moment_measure wikiPageUsesTemplate Template:Main.
- Moment_measure wikiPageUsesTemplate Template:Notelist.
- Moment_measure wikiPageUsesTemplate Template:ProbabilityTopics.
- Moment_measure subject Category:Probability_theory.
- Moment_measure subject Category:Spatial_data_analysis.
- Moment_measure hypernym Quantity.
- Moment_measure comment "In probability and statistics, a moment measure is a mathematical quantity, function or, more precisely, measure that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both.".
- Moment_measure label "Moment measure".
- Moment_measure sameAs m.0ywynvx.
- Moment_measure sameAs Q17104140.
- Moment_measure sameAs Q17104140.
- Moment_measure wasDerivedFrom Moment_measure?oldid=670954537.
- Moment_measure isPrimaryTopicOf Moment_measure.