Basic Examples (2) 

Get the sum of elements not to the left of each element in a list:

In[1]:=

Out[1]=

Apply ReverseAccumulate to a symbolic array:

In[2]:=

Out[2]=

Scope (3) 

Actuarial computations sometimes depend on nested ReverseAccumulate operations:

In[3]:=

Out[3]=

The Head of an expression does not need to be List for ReverseAccumulate to work:

In[4]:=

Out[4]=

Where the argument is a nested list, X, ReverseAccumulate creates a nested list Y of similar dimension in which Y[[i,j]]=ReverseAccumulate[X[[All,j]]][[i]]:

In[5]:=

Out[5]=

In[6]:=

Out[6]=

Applications (1) 

Compute the values of the actuarial commutation function S for a survival list and an annual discount value of 0.8:

In[7]:=

Out[7]=

Properties and Relations (2) 

The ReverseAccumulate of a list is equivalent to the Reverse of the Accumulate of the Reverse of the list:

In[8]:=

Out[8]=

One can generalize the idea of ReverseAccumulate to include operations that do not involve addition:

In[9]:=

In[10]:=

Out[10]=

Indeed, ReverseAccumulate is a special case of the following RightFoldList:

In[11]:=

Out[11]=