Least-squares logistic curves with initial conditions exist

ABSTRACT

For positive data, there is a least-squares Mitscherlich curve with vanishing initial value and a least-squares Verhulst curve with a unit initial value.

KEYWORDS:

• Existence
• Mitscherlich and Verhulst curves
• Non linear least squares.

MATHEMATICS SUBJECT CLASSIFICATION:

• 41A30
• 65D10

Acknowledgments

I thank Dr John E. Douglas, retired professor of Chemistry, for his insight into the chemistry.