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May 26, 2017 at 14:59 comment added whuber Thank you for the edit. I still do not see anything in it that contradicts my definition (2). Indeed, the theorem you quote is a strong law of large numbers following from (2). The only difference I detect between the two settings is that I see no reason to require that the sequence $s$ consist of distinct statistical models; it's only necessary that the samples from each one be independent.
May 26, 2017 at 14:44 comment added Stéphane Laurent Dear whuber, I've edited my post to include a theorem which makes the definition clearer. Though I personally still need some time to digest it.
May 26, 2017 at 13:40 comment added Stéphane Laurent This is the only definition I have found. The other "definition" I found is the definition of the construction of a GCI. But maybe I missed something. I'll check again when I'll have the opportunity.
May 26, 2017 at 13:25 comment added whuber Could you quote a definition from the textbook?
May 26, 2017 at 13:02 comment added Stéphane Laurent Sure. But if I had a clear definition I would not have opened this question ^^
May 26, 2017 at 12:23 comment added whuber Although a construction could help illustrate the GCI, what we need is a sufficiently clear definition.
May 26, 2017 at 10:56 comment added Stéphane Laurent Hi whuber. I can provide the definition of the construction of a GCI, but I'm not sure this will help. I'll do it later.
May 14, 2017 at 22:05 comment added whuber Thank you. In that case, your quotation does not provide a sufficiently clear definition. Could you provide any information to make it less ambiguous?
May 14, 2017 at 18:17 comment added Stéphane Laurent Hello whuber. It is not true that a generalized confidence interval is a confidence interval. Hence Property 2 should not imply Property 1. I should have mentioned this point in my post.
May 14, 2017 at 18:01 history answered whuber CC BY-SA 3.0