Abstract
We will discuss the properties of conditional demimartingales in this chapter. Chow and Teicher (1988) and more recently Majerek et al. (2005) discussed the concept of conditional independence in detail and we introduced the notions of conditional strong mixing and conditional association for sequences of random variables as found in Prakasa Rao (2009). Properties of such random sequences were investigated in Prakasa Rao (2009) and Roussas (2008). Based on these ideas, Hydjikyriakou (2010) introduced the notion of conditional demimartingales.
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© 2012 Springer Basel AG
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Prakasa Rao, B.L.S. (2012). Conditional Demimartingales. In: Associated Sequences, Demimartingales and Nonparametric Inference. Probability and its Applications. Springer, Basel. https://doi.org/10.1007/978-3-0348-0240-6_4
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DOI: https://doi.org/10.1007/978-3-0348-0240-6_4
Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0239-0
Online ISBN: 978-3-0348-0240-6
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