Estimation in the future and its graph
Posted: Thu Nov 06, 2003 9:07 am
If I ask today a project manager when the project will be terminated, he estimates the probability (let's assume that this probability is like a normal distribution). If I ask tomorrow the project manager, his estimation will already be slightly changed. So to every time point there is an other probability dense function for all the future.
I modelled this situation that I defined a subscript, say "day". If FINAL TIME of the model is 100 days, then the range of the subscript is (day1-day100). So the probability dense function is a subscripted auxiliary variable, say "probability[day]", and is defined like this:
probability[day] = 0.4*exp(-(day-mean)^2/2)
(this is the equation of the normal distribution for standard deviation = 1 and a time-dependent function "mean").
This runs through, and gives for every subscript i a constant function probability[dayi]. But actually we are only interested in the value of probability[dayi] at a single time point for all i=1,...,100.
Now I would like to see the well known graph of the dense function. For that I define in the Control Panel a new graph with "day" as X-axis and "probability[day]" as Y-axis. Unfortunately this doesn't give what we want to see. How can I tell Vensim that it should take probability[dayi] at dayi?
I modelled this situation that I defined a subscript, say "day". If FINAL TIME of the model is 100 days, then the range of the subscript is (day1-day100). So the probability dense function is a subscripted auxiliary variable, say "probability[day]", and is defined like this:
probability[day] = 0.4*exp(-(day-mean)^2/2)
(this is the equation of the normal distribution for standard deviation = 1 and a time-dependent function "mean").
This runs through, and gives for every subscript i a constant function probability[dayi]. But actually we are only interested in the value of probability[dayi] at a single time point for all i=1,...,100.
Now I would like to see the well known graph of the dense function. For that I define in the Control Panel a new graph with "day" as X-axis and "probability[day]" as Y-axis. Unfortunately this doesn't give what we want to see. How can I tell Vensim that it should take probability[dayi] at dayi?