In the ever-expanding digital cosmos, where volumes of data are generated every millisecond, the very idea of losing such data may send shivers down the spine of many entrepreneurs, data scientists, and individuals alike. Enter the data preservation superheroes, the Data Recovery Services. Operating at the intersection of technology, mathematics and statistical science, these services work tirelessly to retrieve the seemingly lost data, thereby saving businesses from potential disasters.

Before delving into the 'how', let's first dissect the 'what'. Data recovery, essentially, pertains to the process of salvaging inaccessible, lost, corrupted, damaged or formatted data from secondary storage, removable media, or files, when the original data cannot be accessed through regular means. The 'Data Recovery Services' are specialized entities that operate on this principle, offering their expertise in the realm of data restoration.

The need for such services may arise under various circumstances. A simple accidental deletion, a hard drive failure, a server crash, or a more complex issue like a cyber-attack can result in data loss. Akin to a surgeon in an operation theatre, a data recovery service swings into action at the occurrence of such events, with the singular objective of retrieving as much data as possible.

Data recovery techniques can be bifurcated into two main categories: physical and logical. A physical recovery is required when the storage device has been physically damaged or if there are mechanical issues with the hard drive like a head crash, while logical recovery pertains to circumstances where a system-level failure has occurred, causing files to be lost, hidden, or inaccessible.

Physical data recovery often involves a cleanroom, a dust-free environment, as even microscopic dust particles can irreversibly damage the data storage device. On the other hand, logical recovery predominantly employs advanced software tools that dive deep into the data forest, decoding the binary language, and unraveling the lost data from its caves.

A noteworthy aspect of these services is the 'No Data, No Charge' policy adhered to by many providers. This essentially means that if the data recovery service is unable to retrieve the data, they will not charge for the service. This policy underscores the confidence these services have in their problem-solving capability and expertise.

Contrarily, this also highlights the inherent risk involved in the process. Data recovery is not an unfailing operation. It is a complex task, with success largely dependent on the level of damage and the value of the data. Einstein's theory of relativity might not find a direct application here, but the underlying principle of 'uncertainty' does. Hence, it is always advisable to maintain regular data backups to mitigate such risks.

In today's world, where data is often equated to oil, the importance of these data recovery services cannot be overstated. They are the custodians of this digital oil, ensuring its flow is not impeded. They operate in the background, yet their significance in maintaining the data continuum is paramount.

The cost-benefit analysis of these services tends to tilt favorably towards the benefits, especially when you consider the potential losses a business might have to face due to data loss. In an era where data breaches and cyber-attacks are commonplace, these services stand as the sentinels of the digital world, doing their best to ensure that the data, the lifeblood of modern economies, keeps flowing.

In conclusion, data recovery services are a crucial contingency plan in our highly digitized world. They operate with a perfect symphony of technology, mathematics, and statistical science to resuscitate the lost data, often saving organizations from possible catastrophes. So, while we continue to generate and depend on data for complex decision-making processes, these services ensure that the data remains accessible and secure, even amidst the uncertainty and risks that pervade the digital ecosphere.