Linked Questions

107 votes
1 answer
89k views

What are the shortcomings of the Mean Absolute Percentage Error (MAPE)?

The Mean Absolute Percentage Error (mape) is a common accuracy or error measure for time series or other predictions, $$ \text{MAPE} = \frac{100}{n}\sum_{t=1}^n\frac{|A_t-F_t|}{A_t}\%,$$ where $A_t$ ...
Stephan Kolassa's user avatar
2 votes
4 answers
946 views

Upper & lower bound of confidence interval of mean

Let's say that I want to compute confidence interval of mean for a purity of crystal. I know for fact that purity of any chemical substance cannot exceed 100%. How can I construct confidence interval ...
Eric Kim's user avatar
  • 1,071
2 votes
1 answer
432 views

Why do percentage-based forecast error measures assume a meaningful zero?

I've seen this comment made in various textbooks and papers. For example, the online textbook by Rob J Hyndman and George Athanasopoulos states at http://otexts.com/fpp/2/5/ that Another prob­lem ...
user1205901 - Слава Україні's user avatar
4 votes
1 answer
460 views

Could a mismatch between loss functions used for fitting vs. tuning parameter selection be justified?

Could it make sense (and if so, under what circumstances) to define a penalized estimator based on one loss function but then select its tuning parameter (say, via cross validation) based on another ...
Richard Hardy's user avatar
0 votes
0 answers
867 views

Confidence Interval Upper and Lower Bound

As confidence interval says "95% confidence interval indicates that 19 out of 20 samples (95%) from the same population will produce confidence intervalS that contain population parameter.It means the ...
user172500's user avatar
1 vote
1 answer
153 views

Why is the lower bound of the confidence interval of a model's error relatively constant compared to the upper bound? [closed]

I am interested in studying the effect of increasing data samples for a regression model on train error and test error. For this I have used 95% confidence intervals for different values of a sample ...
user481031's user avatar
2 votes
1 answer
177 views

Upper Bound and Lower Bound on Means when Distributions are bounded?

Suppose we have two different probability distributions $p, q$ defined on input $x \in [0,1]$. We know that for any value of $x$ in the domain, we have $\exp^{-a} \leq \frac{p(x)}{q(x)} \leq \exp^{a} $...
Kieu Anh Dang's user avatar
0 votes
1 answer
91 views

Upper Bound for Size of Prediction Interval

I was thinking of this problem, and I'm not sure if I'm right with this approach. X is a R.V. with unknown distribution, bounded to the interval [a,b], with a < b and both finite. If I take a very ...
Fernando's user avatar
2 votes
0 answers
44 views

imbalanced regression problem + lower bound prediction + custom error weighting

I'm looking for a simple approach (e.g. defining a new target label / sample weights and then using some off-the-shelf regressor with some standard objective) for the following problem: I want to ...
ihadanny's user avatar
  • 3,360
0 votes
0 answers
22 views

Potential evaluation based on the coherence of predicted value with actual data

I have the following data over time: that means data collected for a single variable like CPU usage in lowest, highest, and average mode over time every 5 mins (data granularity = 5mins) like the ...
Mario's user avatar
  • 445