On the normal law of errors

Conclusion

This article is only a very general and theoretical introduction to the modified normal distributions. The author is presently engaged in further development of the theory in the analysis of various examples, the most remarkable of which are of astronomical origin. The lineo-normal distributions seem to be strikingly well confirmed by many types of observations and measurements. It is only through the analysis of a great number of large samples that the concept of zero error and its impact on the general theory of errors will be definitely clarified.

The author thanks Dr. Preston-Thomas for the interest he has constantly shown in the research of statistical nature and Mr. T. Blachut and his group of photogrammetrists who constantly helped the author with their discussions and encouragements. The Division of Positional Astronomy of the Dominion Observatory played a prominent role in this activity and the author hopes to be able to say more, in a not too distant future, about his cooperation with the astronomers of the Observatory.

Finally, the author expresses his gratitude to Mr. Eric Green for his continuous assistance in the building of the theory and the numerical computations. This part of the statistical research, which involves complicated programming, is bound to grow with the development of the theory.