===================================== Simple Random Sample with Replacement ===================================== :doc:`/WorkProcessClassifiers/GlobalAlgorithm/index` - :doc:`/WorkProcessClassifiers/OneDimensionalAlgorithm/index` *Simple Random Sample with Replacement* algorithm is a random process that samples all data values with equal probability. A data value in the original data set is randomly chosen and moved to the output data set. Different from the *Simple Random Sample without Replacement* algorithm, the randomly chosen value is placed back in the original data set after it is chosen so that it can be drawn again. .. rubric:: Input Parameters +--------------------+--------------------------------------------+----------------------------------------+------------------------------------------------+---------+ | Parameter | Type | Constraint | Description | Remarks | +====================+============================================+========================================+================================================+=========+ | :math:`Y` | :math:`Y \in \mathbb R^N` | :math:`N \in \mathbb{N}` | Input data vector of length :math:`N` | | +--------------------+--------------------------------------------+----------------------------------------+------------------------------------------------+---------+ | :math:`s` | :math:`s \in \mathbb N` | :math:`s \leq N` | | | +--------------------+--------------------------------------------+----------------------------------------+------------------------------------------------+---------+ .. rubric:: Output Parameters +----------------------------+----------------------------------------------------+--------------------------------+-------------------------------------------------+---------+ | Parameter | Type | Constraint | Description | Remarks | +============================+====================================================+================================+=================================================+=========+ | :math:`\hat{Y}` | :math:`\hat{Y} \in \mathbb R^s` | :math:`s \leq N` | Output data vector of length :math:`s` | | +----------------------------+----------------------------------------------------+--------------------------------+-------------------------------------------------+---------+ .. rubric:: Tool Support * :doc:`/Tools/MatlabTool/index` For details refer to the online documentation of the function\ `'randsample' `__. .. rubric:: Single Steps using the Algorithm * :doc:`/DataPreprocessing/DataReduction/NumerosityReduction/DataReductionWithSimpleRandomSampleWithReplacement/index` .. rubric:: References - J.\ Han, M. Kamber and J. Pei, Data Mining - Concepts and Techniques, 3rd ed., Amsterdam: Morgan Kaufmann Publishers, 2012.