Vectors are used to store one-dimensional data of the same type in R. In this tutorial, we will look at how to get the cumulative product of a vector in R with the help of some examples.
What is the cumulative product?
The cumulative product of a series of values is the product of values up to that value in our series. For example, for a vector of three values (a1, a2, and a3), the cumulative product would be a1, a1*a2, and a1*a2*a3. The following image illustrates this with an example.
In the above image, we have four values 1, 2, 3, and 4. The cumulative product for these values is 1, 1*2, 1*2*3, and 1*2*3*4 respectively. Note that the order in which these values appear is important when computing the cumulative product.
How to calculate the cumulative product of a vector in R?
You can use the
cumprod() function in R to compute the cumulative product of the values in a vector. Pass the vector as an argument to the function. The following is the syntax –
# cumulative product of vector x cumprod(x)
It returns a vector containing the cumulative product of the values in the passed vector.
Let’s now look at some examples of using the above syntax.
Cumulative product of a vector of numbers
Let’s create a vector of some numbers and use the
cumprod() function to calculate its cumulative prod. For example, let’s compute the cumulative product for the vector
c(1, 2, 3, 4).
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# create a vector vec <- c(1, 2, 3, 4) # cumulative product of vector print(cumprod(vec))
 1 2 6 24
We print the resulting cumulative product. You can see that each value in the cumulative product vector is the product of all values till that particular index from the original vector.
Cumulative product of a vector with
What would happen if you apply the
cumprod() function to a vector containing some
Let’s find out.
For this, we will create a vector with some
NA values and then apply the
# create a vector with NA values vec <- c(1, 2, NA, 3, NA, 4) # cumulative product of vector print(cumprod(vec))
 1 2 NA NA NA NA
You can see that we get the cumulative product till we encounter the first
NA in our vector. From this point onwards, the resulting cumulative product for all the values is
NA. This happens because performing any arithmetic operation with
NA results in an
NA in R.
If you want to compute the cumulative product irrespective of the
NA values, you can first remove the
NA values from the vector and then apply the
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