Abstract
The characteristic function (CF, defined below) is very useful in many areas of mathematics, not only probability and statistics. Usually, this term is used for what we have called the indicator function and our CF is called a bilateral Fourier transform; needless to say, there is also variation in notation. We begin this lesson with some remarks about the set of complex numbers S and complex valued functions.
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© 1989 Springer Science+Business Media New York
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Nguyen, H.T., Rogers, G.S. (1989). Characteristic Functions —I. In: Fundamentals of Mathematical Statistics. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1013-9_46
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DOI: https://doi.org/10.1007/978-1-4612-1013-9_46
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6984-7
Online ISBN: 978-1-4612-1013-9
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