Human life, a Wiener Process?

This is a blog by a dot whose favorite read is Candide. If any of topics have been taken out of context or dealt lighter than their exalted position in shaping the future of human race or "markets" it is being done purely subliminally but intentionally. Now is the time to notice that the author puts his disclaimer right on the top of his ideas, to spare his limited readership the extra stress on their eyes and a nuisance on their minds of a footprint, because they are allowed to form opinions, disregard, discard, take out of context to north, south, east, west or simply read on because sometime spending a precious commodity such as time frivolously feels powerful, may the empowerment be yours. For more seriously inclined I have a blog "Also sprach Ashar", or the pathetic "Leiden des alter Ashar".

As the topic suggests we want to ponder on predictability of another stochastic variable in the illusory realm of universal time be it discrete or continuous; umm! a human. Considering the human has a normal disposition, I mean normal distribution which in our case is one and the same. Unfortunately for a human to be a "Wiener" he/she/it will have no dependence on the historical path, which we all know is only true in case of lottery winners(well even lottery winners have to buy a *#$!@#) or Markovians, the rest of us may depend on the Brownian motion for our existence but the outcome of our lives is pretty correlated to our historical paths, "outliers" or not. Let's for fun's sake assume that happenings in a long time interval can be divided into infinite small happenings which are independent of each other and are meaningless as in having a mean of zero and they deviate from each other by a fixed amount always. The drift rate i.e mean change per unit of time for a stochastic variable( not to be confused with a drunkard, even if he is following a Brownian path on a straight line) multiplied by the change in time will give us one part of his future while we can add an unpredictable string of events in terms of some multiple of deviation from expected outcomes. But since both the predictable and unpredictable parts of the generalized "Wiener" are multiples of constants (part average drift per unit of time and part a fixed variation from the mean), I declare that humans are not mere Wieners, they may be whiners or diners but they are not Wieners, in mathematical sense that is, because some us can be all of the above specially...okay never mind that thought process. Simply said a human cannot be modeled as a stock even if he/she/it follow a random walk.
Ahh! but Ito's process may give us a better approximation, not to mention a headache of calculus to go through as it makes the constant terms in a Wiener process a function of the variable and the time itself, which is more human, since the change in our future is neither free from where we are at present nor from the time it takes to make that change.

Beside the Hull is laying Saigyo so quoating one after the other is befitting,

"Shino tamete suzume umi haru o no warawa
hitai eboshi no hoshige naru kana",

Drawing his
sparrow hunting bow
of bent bamboo
the litle boy seems to be wishing
for a guardsman's black hat