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Biometrika 1998 85(1):235-239; doi:10.1093/biomet/85.1.235
© 1998 by Biometrika Trust
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MISCELLANEA

The edge frequency polygon

M. C. JONES, M. SAMIUDDIN, A. H. AL-HARBEY and T. A. H. MAATOUK

Department of Statistics, The Open University Walton Hall, Milton Keynes MK7 6AA, U.K. m.c.jones{at}open.ac.uk
94/1, 7th Street, Phase VI, D.H.A., Karachi, Pakistan
Department of Statistics, King Abdulaziz University P.O. Box 9028, Jeddah 21413, Saudi Arabia scf3025{at}kaau.edu.sa
Department of Mathematics, Ummul Qurra University Makka, Saudi Arabia

A piecewise linear competitor to the frequency polygon, the edge frequency polygon, is proposed: instead of joining histogram ordinates at midpoints of bins by straight lines, one connects values at bin edges by straight lines, those values being averages of contiguous histogram ordinates. The new proposal is as simple and interpretable as the ordinary frequency polygon while holding theoretical and practical advantages.

Key Words: Histogram • Kernal density estimator • Smoothing


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