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handout_estimation - ME/ECE 739 Measurement Estimation...

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1 Scientific Measurements consist of: Number: the quantitative outcome of a measurement (i.e. "the number"). unit the scale used to produce the number (tells us dimensionality and the system of units being used) specifier what entity is being measured (e.g. length vs. width) identifier or origin, is the entity is being measured (e.g. the box) accuracy of the measurement (of which precision is on component). ME/ECE 739: Measurement, Estimation, Sensor Fusion, Kalman Filtering Random Variables • We specify the probability with which different values are taken by the random variable, we use the probability distribution Function: • or by the probability density function : Some Terms mean - the “center of probability mass” estimate mode - the value of x that has the highest probability, locating the peak of the density median - the value of x such that half of the probability mass lies to the left and half to the right of it.
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