Suppose in the DGIM algorithm the window is as shown below. Answer the following questions.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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[Mining Data Streams]

13. Suppose in the DGIM algorithm the window is as shown below. Answer the
following questions.

(a) Using the above DGIM window, estimate the number of 1’s for the last k positions for the
following values of k: (show the calculation steps)
• k = 12
• k = 17
b) What will the modified buckets look like after the following bits enter the stream?
• First, a 1 enters, then a 0 enters, then a 0 enters, and at the end, a 1 enters the stream.
o Show all intermediate steps.
o Note that always one or two buckets with the same number of 1s must exist.

1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0
Transcribed Image Text:1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0
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