I am not getting why specifying a joint distribuion needs 2n parameters and then indepence reduces it to linear?
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The simplest example ($n=2$) of specifying an arbitrary joint distribution of Boolean variables is discussed in detail at https://stats.stackexchange.com/questions/284996. – whuber Nov 08 '17 at 23:25
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@whuber my main issue is...what are parameters here...what do they look like... – Rafael Nov 08 '17 at 23:36