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Distributional data analysis information


Distributional data analysis is a branch of nonparametric statistics that is related to functional data analysis. It is concerned with random objects that are probability distributions, i.e., the statistical analysis of samples of random distributions where each atom of a sample is a distribution. One of the main challenges in distributional data analysis is that the space of probability distributions is, while a convex space, is not a vector space.

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Distributional data analysis

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Distributional data analysis is a branch of nonparametric statistics that is related to functional data analysis. It is concerned with random objects that...

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Data analysis

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Data analysis is the process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, informing conclusions...

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Exploratory data analysis

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exploratory data analysis (EDA) is an approach of analyzing data sets to summarize their main characteristics, often using statistical graphics and other data visualization...

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Distributional semantics

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by Firth in the 1950s. The distributional hypothesis is the basis for statistical semantics. Although the Distributional Hypothesis originated in linguistics...

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Topological data analysis

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In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information...

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Functional data analysis

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Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over...

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Multivariate statistics

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different quantities are of interest to the same analysis. Certain types of problems involving multivariate data, for example simple linear regression and multiple...

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Oversampling and undersampling in data analysis

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statistics, oversampling and undersampling in data analysis are techniques used to adjust the class distribution of a data set (i.e. the ratio between the different...

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Data Distribution Service

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The Data Distribution Service (DDS) for real-time systems is an Object Management Group (OMG) machine-to-machine (sometimes called middleware or connectivity...

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Cluster analysis

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exploratory data analysis, and a common technique for statistical data analysis, used in many fields, including pattern recognition, image analysis, information...

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Data

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Dark data Data (computer science) Data acquisition Data analysis Data bank Data cable Data curation Data domain Data element Data farming Data governance...

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Big data

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when used in small amounts only. Big data analysis challenges include capturing data, data storage, data analysis, search, sharing, transfer, visualization...

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Survival analysis

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survival analysis involves the modelling of time to event data; in this context, death or failure is considered an "event" in the survival analysis literature...

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Principal component analysis

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component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing...

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Statistical inference

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the process of using data analysis to infer properties of an underlying distribution of probability. Inferential statistical analysis infers properties of...

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Categorical variable

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purely categorical data are summarised in the form of a contingency table. However, particularly when considering data analysis, it is common to use...

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Analysis of variance

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of Mendelian Inheritance. His first application of the analysis of variance to data analysis was published in 1921, Studies in Crop Variation I, This...

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Weibull distribution

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Weibull Distributions". arXiv:1310.3713 [cs.IT]. "1.3.3.30. Weibull Plot". www.itl.nist.gov. Wayne Nelson (2004) Applied Life Data Analysis. Wiley-Blackwell...

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Exponential distribution

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to being used for the analysis of Poisson point processes it is found in various other contexts. The exponential distribution is not the same as the...

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Data analysis for fraud detection

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specialized analysis techniques for discovering fraud using them are required. Some of these methods include knowledge discovery in databases (KDD), data mining...

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Time series

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series analysis comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data. Time...

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Statistics

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discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial...

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Power transform

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wavelet analysis, statistical data analysis, medical research, modeling of physical processes, geochemical data analysis, epidemiology and many other clinical...

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Aggregate data

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Aggregate data collected from various sources are used in different areas of studies such as comparative political analysis and APD scientific analysis for...

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Regression analysis

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regression analysis is linear regression, in which one finds the line (or a more complex linear combination) that most closely fits the data according...

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Receiver operating characteristic

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the cost context or the class distribution. ROC analysis is related in a direct and natural way to cost/benefit analysis of diagnostic decision making...

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Central tendency

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tendency are the often characterized properties of distributions. Analysis may judge whether data has a strong or a weak central tendency based on its...

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Shape of a probability distribution

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skewness and kurtosis. Considerations of the shape of a distribution arise in statistical data analysis, where simple quantitative descriptive statistics and...

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