Uncountable Sample Space (Reference)












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I need reference on handling uncountably infinite sample spaces in probability considerations .



To be more specific , I wish to investigate random walks with the following as a starting point : any random walk that has a specified initial path ($P$) of length $l $ is of form ${P} times Omega $ where $Omega = {+,-}^infty$ and $P in {+,-}^l$ .



It would be nice if there is a reference on treatment of such uncountable sample spaces as I am uncomfortable working with such sample spaces .






probability-theory reference-request random-walk







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    0














    I need reference on handling uncountably infinite sample spaces in probability considerations .



    To be more specific , I wish to investigate random walks with the following as a starting point : any random walk that has a specified initial path ($P$) of length $l $ is of form ${P} times Omega $ where $Omega = {+,-}^infty$ and $P in {+,-}^l$ .



    It would be nice if there is a reference on treatment of such uncountable sample spaces as I am uncomfortable working with such sample spaces .






    probability-theory reference-request random-walk







    share|cite|improve this question

























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      0





      I need reference on handling uncountably infinite sample spaces in probability considerations .



      To be more specific , I wish to investigate random walks with the following as a starting point : any random walk that has a specified initial path ($P$) of length $l $ is of form ${P} times Omega $ where $Omega = {+,-}^infty$ and $P in {+,-}^l$ .



      It would be nice if there is a reference on treatment of such uncountable sample spaces as I am uncomfortable working with such sample spaces .






      probability-theory reference-request random-walk







      share|cite|improve this question













      I need reference on handling uncountably infinite sample spaces in probability considerations .



      To be more specific , I wish to investigate random walks with the following as a starting point : any random walk that has a specified initial path ($P$) of length $l $ is of form ${P} times Omega $ where $Omega = {+,-}^infty$ and $P in {+,-}^l$ .



      It would be nice if there is a reference on treatment of such uncountable sample spaces as I am uncomfortable working with such sample spaces .






      probability-theory reference-request random-walk




      probability-theory reference-request random-walk






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










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      John

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