I am not even sure how to even phrase this question so if anyone could help that would be great.
I am analyzing facebook activity and I wish to predict a particular activity (comments, for instance). Doing this with R, and using the package 'forecast' my prediction for the future periods with 80 and 95% yield lower boundaries of negative numbers - this can't be. The minimum possible comments that any activity could have is 0. What can I do to restrict this with a valid statistical background instead of running some code to limit these values?
Here is a MRE, with data that very closely resembles the parameters of the data I am working with (which unfortunately I can't share), but in reality, anything that has a sd larger than a mean would yield similar results:
library(forecast) TEST <- rnorm(150,mean=87,sd=140) # change negatives to 0 TEST[TEST < 0] <- 0 #It's crucial that the sd is larger than the mean, if not, repeat first commands mean(TEST) sd(TEST) arima.TEST <- arima(TEST, order = c(1,0,0)) forecast.Arima(arima.TEST, h =12) #Lo 80 and Lo 95 are predicted in the negatives